Question

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

Answer 1

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.
`2y=8x+4, y=4x+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(0)+2`
so `y=2` Point is (0,2)
Let y=0
`0=4x+2`
Make x the subject.
`-4x=2, x=-1/2` Point is (-0.5, 0)