Question

How do you graph `3x-y=5` on a coordinate plane?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`3x-y=5`

This is the standard form for a linear equation: `Ax+By=C`

You only need two points to graph a straight line; the x- and y-intercepts.

X-intercept: value of `x` when `y=0`

Substitute `0` for `y` and solve for `x`.

`3x-0=5`

`3x=5`

Divide both sides by `3`.

`x=5/3`

Point: `(5/3,0)` or `(~~1.667,0)`

Y-intercept: value of `y` when `x=0`

Substitute `0` for `x` and solve for `y`.

`3(0)-y=5`

`-y=5`

Multiply both sides by `-1`.

`y=-5`

Point: `(0,-5)`

Plot the two points and draw a straight line through them.

graph{3x-y=5 [-10, 10, -7.2, 2.8]}