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

Nov 15, 2016

graph{y=-4x+3 [-5.17, 4.83, 0.59, 5.59]}
See below for explanation.

#### Explanation:

The equation is in the form $y = m x + b$, where $m$ is slope and $b$ is the y-intercept.
Slope is in the form of $\frac{r i s e}{r u n}$, or y-distance over x-distance. A negative slope means you go DOWN the y-axis, but the x-axis still goes rightwards.

Your y-intercept, $b = 3$, means you have a point at $\left(0 , 3\right)$.
Now, your slope is $m = - 4$, or $- \frac{4}{1}$, meaning you go down 4 units and right 1 unit. Use this to graph the next point down, which should be $\left(1 , - 1\right)$.

Connect these two points, and you have your graph.