Question

The line passing through the points (-2, 10) and (5, -11)

Answer 1

Answer:

y-intercept = (0, 4)

x-intercept = (3/4, 0)

Step-by-step explanation:

1 - Find the slope

$slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3$

2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.

y = mx + b

y = -3x + b

10 = (-3)(-2) + b

10 = 6 + b

-6   -6

4 = b

y-intercept = (0, 4)

3 - Rewrite the completed formula

y = -3x + 4

4 - Substitute 0 in for y to find the x-intercept

0 = -3x + 4

-4          - 4

-4 = -3x

-4/-3 = -3x/-3

 4/3 = x

x-intercept = (4/3, 0)