Write an equation in slope-intercept form for the line that satisfies the following condition. passes through (11, - 15) and (16, 5)

y = 4x - 59

Step-by-step explanation:

(11, - 15) (16,5)

Find the slope:

(-15 - 5) / (11-16)

= - 20/-5

= 4

The slope is 4

Find the y-intercept:

y - 5 = 4 (x - 16)

y - 5 = 4x - 64

-64 + 5 = - 59

The y-intercept is - 59

Plug it in the equation:

y = mx + b

y = 4x - 59

Check:

5 = 64 - 59

5 = 5 (correct)

-15 = 44 - 59

-15 = - 15 (correct)