Question

What is the point slope of a line with the slope 4 that contains the point (-3, -4) ?

A. y + 4 = -4 (x + 3)
B. y - 4 = -4 (x - 3)
C. y - 4 = 4 (x - 3)
D. y + 4 = 4 (x + 3)

Answer 1

Correct choice: D.

`y+4=4(x+3)`

Explanation:

The point-slope form of the equation of a line is:

`y-k=m(x-h)`

Where m is the slope and (h,k) is a point through which the line passes.

According to the question, the slope of a line is m=4 and it contains the point (-3,-4), thus, replacing the values:

`y-(-4)=4(x-(-3))`

Operating:

`\boxed{y+4=4(x+3)}`

Correct choice: D.