# How do you graph y - 7 = -3x by plotting points?

May 29, 2018

Refer to the explanation below.

#### Explanation:

$y - 7 = - 3 x$

First begin by rearranging the equation to form a linear function.

$y - 7 = - 3 x$

$y = - 3 x + 7$

Now, looking at the equation you can see that:

• the gradient is negative due to the $- 3$
• the graph has been shifted up by $7$

Now, find the point of intersection of the graph along the $y$-axis by making $x = 0$.

$y = - 3 x + 7$

$y = - 3 \left(0\right) + 7$

$y = 0 + 7$

$y = 7$

Therefore, $\left(0 , 7\right)$ is your point of intersection of the graph with the $y$-axis.

Now, find the point of intersection of the graph along the $x$-axis by making $y = 0$.

$y = - 3 x + 7$

$0 = - 3 x + 7$

$0 - 7 = - 3 x$

$\frac{- 7}{-} 3 = \frac{- 3 x}{-} 3$

$x = 2.33333$

Now sketch the complete graph.

graph{y - 7= -3x [-4.98, 15.01, -1.88, 8.12]}