Question

Write the equation of the line that passes through the points (-5, 21) and (4, -15) in standard form

Answer 1

Answer:

y = -4x + 1

Step-by-step explanation:

The line passes through points (-5,21) and (-4,15)

Slope(m) = change in y ÷ change in x

m = $\frac{-15 - 21}{4 - -5}$

m = $\frac{-15 - 21}{4 + 5}$ = -36/9 = -4

Taking another point (x,y) on the line and comparing it with point (4,-15):

-4 = $\frac{y + 15}{x - 4}$

Cross multiplying gives:

y + 15 = -4x + 16

y = -4x + 1