Question

How do you graph using the intercepts for `5x-y=3`?

Answer 1

Set `y=0` and then `x=0` to find the x and y intercepts, respectively, and then draw a line through the two points.

Explanation:

The x-intercept of a graph is where it intersects the x-axis, that is, where `y=0`.
Setting `y=0` in this equation gives us

`5x - 0 = 3 => x = 3/5`

Thus the equation has the x-intercept `(3/5, 0)`

The y-intercept of a graph is where it intersects the y-axis, that is, where `x = 0`.
Setting `x = 0` in this equation gives us

`5(0) - y = 3 => y = -3`

Thus the equation has the y-intercept `(0, -3)`

As the equation is linear, only two points are needed in order to graph it. So, plot the intercepts found, and draw a line through them to create the graph:

graph{y = 5x-3 [-8.22, 8.24, -5.11, 3.12]}