Question

Explain how to graph -6y = -2x + 24 using slope and the y intercept. *

Answer 1

Hello!

Slope intercept form is y = mx + b

m is the slope

b is the y-intercept

To turn the equation into the base form we have to get y by itself

-6y = -2x + 24

Divide both sides by -6

$y=\frac{2}{6} x - 4$

Simplify

$y=\frac{1}{3} x - 4$

To get the y-intercept we put 0 in for the x point and b for the y point

The y-intercept is (0, -4)

The slope is 1/3 which means every time x goes up by 3 the y goes up by 1

Other points are (3, -3) (6, -2) and (9, -1)

With 3 or more points we can plot a graph

Hope this Helps!