Question

Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2).

Answer 1

Parallel lines have equivalent slopes, so as the slope of the given line is 1, the slope of the line we want to find is also 1.

Substituting into point-slope form and rearranging into slope-intercept form,

`y-2=1(x+6)\\\\y-2=x+6\\\\\boxed{y=x+8}`