Question

A line has a slope of 3 and contains the point (−1, −8). Which equations represent the line? Choose all answers that are correct.
a. −3x + y = −5
b. 3x + y = −5
c. (y – 8) = 3(x − 1)
d. (y + 8) = 3(x + 1)

Answer 1

There are many different ways of representing the equation of a line. With the given information, the best form of the equation to use is point-slope form which can be written as $y-y_{1}=m(x-x_{1})$ where $(x_{1},y_{1})$ is the x and y coordinates of a given point on the line and $m$ is the slope of the line. Since you are given that the slope of the line is 3 and has the point (-1,-8), the equation should look like $y+8=3(x+1)$, which is letter choice D.