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

Jun 1, 2018

Refer to the explanation.

#### Explanation:

Graph:

$y = - 4 x + 3$

Convert the equation in slope-intercept form to standard form, $A x + B y = C$, by adding $4 x$ to both sides.

$4 x + y = 3$

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 $x$.

$4 x + 0 = 3$

$4 x = 3$

Divide both sides by $4$.

$x = \frac{3}{4}$

The point for the x-intercept is $\left(\frac{3}{4} , 0\right)$.

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

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

$4 \left(0\right) + y = 3$

$0 + y = 3$

$y = 3$

The point for the y-intercept is $\left(0 , 3\right)$.

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

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