Which equation has the least steep graph? You can see the options and select the option from the given options:
| 1. y=-7x-2 |
| 2. y=-3/4x-9 |
| 3. y=1/4x+6 |
| 4. y=2x+1 |
| The correct answer is: |
| 3. y=1/4x+6 |
| 1/4 is the smallest absolute value slope of the 4 equations |
Least Steep Equation
This question cannot be answered with certainty because it hinges on personal interpretation. The equation for just a straight line, y = mx + b, is one solution, though. This equation has a slope of zero, which indicates that it is entirely horizontal and is therefore thought to be the least steep. It is also among the easiest equations to understand, which makes it a good candidate for the lowest steep equation.
Measure Of Steepness
Students have applied the formula:
y = mx + b
The coefficient of x is represented by the m when the equation is stated in y-form. And is the line’s slope. It displays the line’s steepness and direction.
The y-intercept, denoted by the constant b and written as (0, b), shows where the line crosses they-axis.
Finding the Steepest Slope
How do you choose the steepest slope:
| 1. y= 1/2x-5 |
| 2. y= -2/5x+3 |
| 3. y= 4x-2 |
| 4. y= -6x+1 |
| The solution is given below: |
The answer is y= -6x+1
Compare the four equations’ slopes, which is the value in the part with “x,” to each other. The sharpest slope is the one with the largest absolute value. If the function has a positive slope, it is ascending from left to right; if it has a negative slope, it is descending from left to right. The answer is yes if all that matters to you is that it is the steepest, irrespective of whether it is rising or downhill (4).
Some examples
When m = 1 means that when y equals x, the line moves up one unit every time it moves over one unit to the right.Right. In other words, steeper lines have a higher m value.
m > 1. An m number between zero and one for flatter lines0 and 1, is typically expressed as a fraction. y = 3x y
If determining the vertical and horizontal distances is difficult, you can determine the slope using. Finding the lengths of the vertical (-y) and horizontal (-z) by sketching a general slope triangle and using(-x) Horizontalsegments ( Finding the gradient of the line that goes through the circle in the illustration to the right using the numbers (-21, 9) and (19, -15). first, plot the points on unoptimized axes by roughly estimating their location
Create a slope triangle after finding it. Find the distance next. Note that it is 9 units away from the starting position all along the vertical side Point B is 15 units away from the x-axis from point C, thus! y is 24. Then calculate the separation between point A and the y-axis. (21) and the separation between point B and the y-axis (19). ! x is 40. Since the line is downward, the slope is negative. The slope seems to be from left to right, so -24 /40=- 3/ 5.
What equation has the graph that is the least pronounced?
The exact value of x and y that you’re seeking will determine the response, which is indeterminate. However, often, an equation with a graph that is less steep has an exponent of x that is less than or identical to 1. For instance, the graph of y=x2+1 is less steep than y=x3+1.
This is because x in the first equation has an exponent of 2, but x in the second equation has an exponent of 3. The incline of the graph also grows with the exponent of x. As a result, an equation whose graph has an exponent of x less than or equal to 1 has a graph that is the least steep.
Which equation’s graph is the flattest?
When an equation’s slope is 0, its graph will be the flattest. A graph’s slope is a gauge of how high the graph is. If the slope is 0, the chart is level and not inclined.
A linear equation has a graph that is the flattest. An equation with a straight line as its graph is said to be linear. Y = mx + b, m is the slope, and b is the y-intercept, the most typical linear equation.
The slope is the ratio of the y-to-x change. Therefore, wherever you are on the graph of a linear model, the slope is constant. The graph’s intersection with the y-axis is known as the y-intercept. Since the slope of a linear equation is constant, its graph will be flat. The graph won’t be anything but flat unless the equation is vertical, in which case the slope is infinite.
Summary
You must consider the graph’s absolute value of slope in order to assess how “steep” it is. These equations are all expressed in slope-intercept form, with y=mx+b being the slope. Our available slopes are thus 1/2, 10, 4, and -3/4. The slopes have the following absolute values: 1/2, 10, 4, and 3/4. The slope becomes “steeper” and vice versa as its value increases. Therefore, 1/2 is the minimum absolute value for these slopes. Consequently, the equation y=1/2x+2 would have the least steep graph. By graphing all four equations, you can prove this.
Which equation’s slope is the mildest?
It is challenging for this query without more information regarding the particular equations in question. However, generally speaking, the equation with the lowest exact amount for the slope would have the least severe slope.
The gradient of an equation serves as a gauge for the line’s steepness. A deep line has a short slope, whereas a vertical line has a steep slope. In other words, if you are required to find the equation with the least serious slope, we want to find the one with the smallest exact amount of slope.
Imagine two lines, one with a big positive slope and the other with a minor negative slope, as one way to approach this. Given that it is close to zero, the lines with the significant positive slope and the little negative steep would have a less severe slope.
Of course, this is only one perspective on the matter. There are numerous additional ways to address this issue, and there isn’t one best solution.
Frequently Asked Questions
These frequent questions may help you regard Which Equation Has The Least Steep Graph:
1. How do you locate the graph that is least steep?
Depending on the slope value, the slope is “steeper” and vice versa. Therefore, the exact value of these slopes’ smallest slope is 1/2. Consequently, y=1/2x+2 has the equation with the lowest steep graph.
2. Which formula has the least steep graph?
Positive slope lines lean to the right, becoming steeper as the slope increases. A line with a low slope left and the slope’s magnitude determines how steep the line is. Since there is no slope on a horizontal line, it has zero slopes.
3. Which equation has the steepest slope? How do you know?
Compare the four equations’ slopes, the value in the term containing “x,” to each other. The sharpest slope is the one with the largest absolute value. If the function has a positive slope, it ascends from left to right; if it has a negative slope, it descends from left to right.
4. Which slope is the least steep?
The horizontal line, or 0, would have the “least steep” slope.
5. How can a slope be made less steep?
Build up the slope’s bottom by adding purchased subsoil. Spread out the soil, so the earth slopes slightly away from neighbouring structures. Spread the soil out so that every 50 sq ft of ground has a slope of 12 inches. The ground smoothed out with a rake.
6. which function of the slope is the steepest?
The line with the most nearly vertical slope has the highest gradient. The steepest slope should be identified by comparing the ABSOLUTE VALUES of these four slopes, which could have either a positive or negative slope.
7. What results in a steeper function?
Altering the base number will allow us to make our function steeper (the part that is raised to the x power). See the figures. The graph will revolve around the y-axis when the exponent is made negative. Even though it opens in the opposite direction, it will still intersect at the same location.
8. What does a graph’s slope indicate?
In a graph, a steeper slope indicates a quicker rate of change. How you read this depends on the type of graph you are using. Therefore, a quicker speed is implied if it is a distance-time graph. A faster acceleration would indicate a speed-time graph.
9. What is a Steeper Line?
The slope’s absolute value is a gauge for a line’s steepness, incline, or grade. A slope indicates a steeper line with a higher absolute value. A line can be drawn in four directions: upward, downward, horizontal, or vertical. If a line rises from left to right, it is said to be growing.
10. What is the graph’s steepest point?
Yes, the inflexion points will be the steepest parts. The derivative measures the steepness, and where the derivatives of the derivative are 0, the steepness is maximum.
Conclusion
Which equation has the least steep graph? y=1/2x+2 or y=10x-6 or y=4x-4 or y=-3/4x+5?
You must consider the exact number of the graph’s slope in order to assess its “steepness.” All of these equations have the form y=mx+b, where m denotes the slope. We, therefore, get slopes of 1/2, 10, 4, and -3/4. These slopes have absolute values of 1/2, 10, 4, and 3/4. The slope is “steeper” and vice versa depending on the slope value. Therefore, the absolute value of these slopes’ smallest slope is 1/2. Consequently, y=1/2x+2 has the equation with the least steep graph. Graphing any of the four equations will demonstrate this.
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