Question

Which equation is the slope-intercept form of the line that passes through (1, 2) and is parallel to the graph of y=8/3

Answer 1

Hi there!

$\large\boxed{y = \frac{8}{3}x - \frac{2}{3}}$

A line parallel to y = 8/3x has a slope of 8/3, therefore:

Plug the given slope into the slope-intercept formula, along with the given coordinates to solve for the formula:

2 = 8/3(1) + b

2 = 8/3 + b

6/3 = 8/3 + b

6/3 - 8/3 = b

b = -2/3

Therefore, the equation in slope formula is:

y = 8/3x - 2/3