Question

Which of the following is a correct equation for the line passing through the point (-1,-4) abd having slope m=-3

Answer 1

point slope form y+4 = -3(x+1)

slope intercept form y = -3x-7

Explanation:

We have a point and a slope, we can use the point slope form for the equation

y-y1 = m(x-x1)

y--4 = -3 (x--1)

y+4 = -3(x+1)

We can also manipulate the equation into slope intercept form

Distribute

y+4 = -3x -3

Subtract 4 from each side

y+4-4 =-3x-3-4

y = -3x-7