Question

What are the slope, m, and y-intercept, (0, b), of the line described by

Answer 1

Answer:

$\large \boxed{m = -\frac{1}{2};\text{ y-intercept = 2}}}$

Step-by-step explanation:

The slope-intercept form of an equation is

y = mx + b, where

m = the slope and

b = the y-intercept

We must solve your equation for y.

It will then be in the slope-intercept form.

$\begin{array}{rcll}3x + 6y & = & 12 & \\6y & = & 12 - 3x & \text{Subtracted 3x from each side}\\y&= &2 -\frac{1}{2}x& \text{Divided each side by 3}\\\mathbf{y} &= & \mathbf{-\frac{1}{2}x + 2}& \text{Rearranged terms}\\\end{array}\\\\\large \boxed{\mathbf{m = -\frac{1}{2};\textbf{y-intercept = 2}}}$

The diagram below shows the equation of your graph with m = -½ and the y-intercept at (0, 2)