(−7,13); slope=−2

Question

Write the equation of the line in Slope-Intercept Form with the given point and slope.

 

Answer 1

To solve this problem you are going to need to use the Point-Slope equation: y – y₁ = m (x – x₁)

(x₁ , y₁) = (– 7 , 13)

Your slop is represented by m: m = – 2

Now you plug in what you know into the above formula and solve for y

y – 13 = – 2 (x – (– 7))

y – 13 = –2 (x + 7)

y – 13 = (– 2 • x) + (– 2 • – 7)

y – 13 = – 2x – 14

–13 – 13

y = – 2x – 27

Your Answer is y = –2x – 27