Question

Find the equation of a line that runs through

(2,1) and is parallel to the line defined by
3x + y = -7.

Answer 1

Explanation:

equation of a line

y - y1 = m(x -x1)

where (x1, y1) is a point on the line and m is the slope

since it is parallel to the line 3x + y = -7, put in y = mx + b form to find the slope

y = -3x - 7, therefore m = -3

y - 1 = -3(x - 2)