Question

How do you graph `y=-4x+3`?

Answer 1

Refer to the explanation.

Explanation:

Graph:

`y=-4x+3`

Convert the equation in slope-intercept form to standard form, `Ax+By=C`, by adding `4x` to both sides.

`4x+y=3`

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

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

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

`4x+0=3`

`4x=3`

Divide both sides by `4`.

`x=3/4`

The point for the x-intercept is `(3/4,0)`.

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

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

`4(0)+y=3`

`0+y=3`

`y=3`

The point for the y-intercept is `(0,3)`.

Plot the x- and y-intercepts and draw a straight line through them.

graph{4x+y=3 [-10, 10, -5, 5]}