# What is the slope and intercept for y + 1/2 = -1/3(x+1/2) and how would you graph it?

Jun 1, 2018

Slope $- \frac{1}{3}$

Y intercept $\left(0 , - \frac{2}{3}\right)$

#### Explanation:

expand the bracket and subtract $\frac{1}{2}$ from both sides

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

$- \frac{1}{6} - \frac{1}{2} = - \frac{4}{6} = - \frac{2}{3}$

$y = - \frac{1}{3} x - \frac{2}{3}$ this is the standard form of a straight line graph.

The gradient is $- \frac{1}{3}$, the y intercept is $- \frac{2}{3}$

When y=0, x=-2

Put x=-3 into the equation and y=$\frac{1}{3}$

You now have 3 points to plot

$\left(0 , - \frac{2}{3}\right) , \left(- 2 , 0\right) \mathmr{and} \left(- 3 , \frac{1}{3}\right)$