# How do you graph using slope and intercept of -8x+2y=4?

Mar 27, 2018

Slope=4
Intercepts=(0,2), (-0.5, 0)

#### Explanation:

To find out the slope (Gradient), make y the subject.
y=mx+c is the equation of a line and m is the number you're looking for for the slope.
$2 y = 8 x + 4 , y = 4 x + 2$
Therefore 4 is the number in front of x so the slope is positive 4.
Intercept is a point where the line crosses the axis.
In order t find out the intercepts, we make y or x equal to 0, as when the line crosses the x-axis, y=0 and when it crosses the y-axis, x=0.

Let x=0,
$y = 4 \left(0\right) + 2$
so $y = 2$ Point is (0,2)
Let y=0
$0 = 4 x + 2$
Make x the subject.
$- 4 x = 2 , x = - \frac{1}{2}$ Point is (-0.5, 0)