Question

How do you graph using slope and intercept of `5x + 2y = -1`?

Answer 1

Below

Explanation:

`5x+2y=-1`
`2y=-5x-1`
`y=-5/2x-1/2`

The general form of this equation is `y=mx+b` where m is the gradient or slope and b is the constant that tells you to shift up or down the graph by b units.

To find your intercepts, you need to sub either `x=0` or `y=0` depending on whether you are finding your y-intercept or x-intercept respectively.

When `x=0`,
`y=-5/2(0)-1/2`
`y=-1/2`
Therefore, your y-intercept is `(0,-1/2)`

When `y=0`,
`5x+2(0)=-1`
`5x=-1`
`x=-1/5`
Therefore, your x-intercept is `(-1/5,0)`

graph{5x+2y=-1 [-10, 10, -5, 5]}