Question

Which of the following equations describe the line (-6, 2) (-1, -4)? (Graph below)

A. y - 4 = -5/6(x - 1)
B. y - 2 = -5/6(x + 6)
C. y + 4 = -6/5(x + 1)
D. y + 4 = -5/6(x + 1)
E. y - 2 = -6/5(x + 6)
F. y - 6 = -6/5(x + 2)

Answer 1

Answer: c.

Explanation:

Answer 2

I notice that all the choices are written in Point-Slope Formula. This is a key factor in answering your question.

So usually we solve for slope, plug into point-slope form, then solve for slope intercept.

We only have to do the first 2 steps:

Formula for slope:
`(y2-y1)/(x2-x1)`
Plug in values:
`(-4-2)/(-1-(-6)) = (-6)/(5)`
Slope:
`- (6)/(5)`
Point-slope formula:
`y - y1 = m(x-x1)` where m is equivalent to slope.
Plug in values:
`y -2 = -(6)/(5)(x + 6)`


We can also rewrite the equation like this using the other coordinates.

Plug in value:
`y + 4 = - (6)/(5)(x + 1)`