Question

Write the slope-intercept form of the equation that passes through the point (-2,2) and is parallel to the line y = 3x - 5

Answer 1

Parallel lines have equivalent slopes, so as the slope of the given line is 3, the slope of the line we want to find is also 3.

Substituting into point-slope form,

$y-2=3(x+2)\\\\y-2=3x+6\\\\\boxed{y=3x+8}$