Question

[PLEASE HELP ASAP]

What is the equation of the line that passes through the points (−3, 2) and (−5, 8)?
A: 3x − y = −11
B: 3x + y = − 7
C: 3x + y = 5
D: x + 3y = 3

Answer 1

B: 3x + y = − 7

Explanation:

As we move from (-5, 8) to (-3, 2), x increases by 2 and y decreases by 6. Thus, the slope of the line thru these two points is m = rise / run = -6/2 = -3.

Applying the point-slope form of the equation of a straight line,

y-k = m(x-h), we obtain y - 2 = -3(x + 3).

Alternatively, y = -3x - 9 + 2, or

y = -3x - 7

and this can be rewritten in the form 3x + y = -7 (Answer B)