Question

What is the equation of the line that is parallel to the line y = -1/3x + 4 and passes through the point (6, 5)?

Answer 1

Answer:

$y=-\frac{1}{3}x+7$

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is -1/3.

Substituting into point-slope form and converting to slope-intercept form,

$y-5=-\frac{1}{3}(x-6) \\ \\ y-5=-\frac{1}{3}x+2 \\ \\ y=-\frac{1}{3}x+7$