how do you change a linear equation to make the graph steeper?
Make graph(slope) steeper by increasing slope:
AX + BY = C,
m = -A/B,
Increase A or decrease B.
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To change a linear equation and make the graph steeper, you would need to increase the slope of the line. The slope represents the rate at which the y-values change with respect to the x-values.
Here's a step-by-step explanation of how to change a linear equation to make the graph steeper:
1. Start with the original linear equation in the form y = mx + b, where m represents the slope of the line.
2. Increase the value of the slope, m. This can be done by multiplying the existing slope by a number greater than 1. For example, if the original slope is 2, multiplying it by 2 would result in a new slope of 4, making the graph steeper.
3. Update the original linear equation with the new slope value. The equation becomes y = (new slope)x + b.
4. You can simplify the equation if needed or modify the constant term 'b' to shift the line up or down, but the main focus is on changing the slope to make the graph steeper.
By increasing the slope in a linear equation, you make the line steeper because the line now has a greater incline and the y-values change more rapidly as x-values increase or decrease.