Question

Which equation describes the line with slope 5 that contains the point (-1,4)?O A. y+ 4 = 5(x+1)B. y - 4 = 5(x - 1)O c. y+ 4 = 5(x - 1)O D. y - 4 = 5(x+1)P

Answer 1

D

`y-4=5(x+1)`

Explanation

The equation of a line in point slope form is

`y-y_1=m(x-x_1)`

where m is the slope and (x₁, y₁) is a known point.

Substituting m = 5 and the point (-1, 4), we get:

`\begin{gathered} y-4=5(x-(-1)) \\ y-4=5(x+1) \end{gathered}`