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

1 Answer
Lucy
Jul 10, 2018

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]}

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