Question

Write an equation of the line that passes through a pair of points (5, -2) , (4,5)

Answer 1

Answer:

y = -7x + 33

Step-by-step explanation:

Use the Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the Slope

Slope = $\frac{y2 - y1}{x2 - x1}$

Slope = $\frac{5 - (-2)}{4 - 5}$

Slope = $\frac{5 + 2}{-1}$

Slope = $\frac{7}{-1}$

Slope = -7

Step 2:  Plug into the point slope form

(y - 5) = -7(x - 4)

y - 5 + 5 = -7x + 28 + 5

y = -7x + 33

Answer:  y = -7x + 33