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

1 Answer
Jul 10, 2018

Below

Explanation:

5x+2y=1
2y=5x1
y=52x12

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=52(0)12
y=12
Therefore, your y-intercept is (0,12)

When y=0,
5x+2(0)=1
5x=1
x=15
Therefore, your x-intercept is (15,0)

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