Question

Write an equation of the line

that is parallel to y = -3x + 2
and passes through
the point (2,1).

Answer 1

y=2x-5

Explanation:

Answer 2

y = -3x + 7

Explanation:

Parallel lines have equal slopes, so we already know that the slope of the other line is -3.

Now we can plug in (2,1) into point-slope:

`\begin{gathered}\bf{y-1=-3(x-2)}\\\bf{y-1=-3x+6}\\\bf{y=-3x+6+1}\\\bf{y=-3x+7}\end{gathered}`

Therefore, the equation is y = -3x + 7

Info related to the question

• point-slope is
  `\bf{y-y_1=m(x-x_1)}`