Question

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If the graph of a line has a positive slope and a negative y-intercept, what happens to the x-intercept if the slope and the y-intercept are doubled?

Answer 1

Y = mx + b is the slope-intercept form of the equation of a line
m = slope
b = y intercept

so graph something simple such as y = 2x-2. Then double the slope (m, which is 2 in this case) and intercept (-2 in this case) to get

y = 2x-2 --> y = 4x-4. Both slope and intercept are doubled, but as you can see it crosses the x-intercept (where y = 0) at the same point as y = 2x-2. The x intercept is not changed.

as long as m = b, the x-intercept will always be the same.

Answer 2

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