Question

Write an equation in slope-intercept form for the line that passes through (5, 3) and is parallel to x + 3y = 6.

Answer 1

Answer:

Step-by-step explanation:

the line given is

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

parallel lines have the same slope

$y = \frac{-1}{3} (x) + b\\3 = \frac{-1}{3}(5) + b\\\frac{9}{3} = \frac{-5}{3} + b\\ b = \frac{14}{3}$

$y = \frac{-1}{3} (x) + \frac{14}{3}$