Parallel and Perpendicular Lines Algebra

Question

Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the line of the equation shown. (1,1) -3x+y=2

Answer 1

I convert from standard form to slope-intercept form.

-3x + y = 2 → y = 3x + 2

With the given point, (1, 1), we can use the point-slope form to find where the line is parallel to with the slope, m = 3.

y - 1 = 3(x - 1)

y - 1 = 3x - 3

y = 3x - 2