Answer:
Step-by-step explanation:
Proof:
If:
x intercept is at a number nonzero "a"
so the point where it intersects the x-axis is at (a,0)
y-intercept is at the same nonzeronumber "a"
so the point where it intersects the y-axis is at (0,a)
Then:
slope between point (a,0) and (0,a) is m= (y2-y1)/(x2-x1) = 0-a/a-0=-a/a= -1
x intercept is 2 (for example)
so the point where it intersects the x-axis is at (2,0)
y-intercept is 2
so the point where it intersects the y-axis is at (0,2)
slope between point (2,0) and (0,2) is m= (y2-y1)/(x2-x1) = 0-2/2-0=-2/2=-1
