Determine the intercepts of the line that passes through the following points

Question

(-5,-7)

(0,-5)

(5,-3)

Answer 1

Use any 2 points.

m = (-7 - (-3))/(-5 - 5) = -4/-10 = 2/5

Now use any point.

y - (-5) = (2/5)(x - 0)

y + 5 = (2/5)x

y = (2/5)x - 5

On the x-axis, y = 0.

0 = (2/5)x - 5

(2/5)x = 5

(5/2)(2/5)x = 5(5/2)

x = 25/2

x = 12.5 or 12 1/2

x-intercept: (12.5,0)

We're already given the y-intercept, but if we weren't, x = 0 along the y-axis.

y = (2/5)(0) - 5

y = -5

y-intercept: (0,-5)