Question

2.

Write the equation of the line, in slope-intercept form, that goes through the point ( 3, 6 ) and is parallel to the line: y = ( 2 / 3 ) x + 11.

Answer 1

Parallel lines have equivalent slopes, so as the slope of the given line is 2/3, the slope of the line we want to find is also 2/3.

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

$y-6=\frac{2}{3}(x-3)\\\\y-6=\frac{2}{3}x-2\\\\\boxed{y=\frac{2}{3}x+4}$