Question

Find the​ x- and​ y-intercepts of the line that passes through the given points.

(-5, -5,), (5,-1)

The​ x-intercept is

Answer 1

found by setting y = 0 and solving for x.

Using the first point (-5, -5):
0 = mx + b
0 = -5m + b

Using the second point (5, -1):
0 = 5m + b

We can solve these two equations to find the slope m and the y-intercept b.

-5m + b = 0
5m + b = 0

Adding these two equations together, we get:
0 = 10m
m = 0

Now we can substitute m = 0 into either equation to solve for b:
5(0) + b = 0
b = 0

Therefore, the x-intercept is x = 0 and the y-intercept is y = 0.