# How do you graph y=-2x+7 by plotting points?

##### 1 Answer
Jul 19, 2018

This is the equation of a straight line of the form $y = m x + c$
Here,

$m$ is the slope of the straight line and $c$ is the intercept the line makes on the y axis.

Comparing the given equation $y = - 2 x + 7$ with $y = m x + c$,
we understand the following:

The line intersects with the y axis at (0,7).

Now we substitute $y = 0$ and solve the equation,
$0 = - 2 x + 7$

or $2 x = 7$

or $x = \frac{7}{2}$

Hence, the line passes through the point $\left(\frac{7}{2} , 0\right)$
If the two points $\left(\frac{7}{2} , 0\right)$ and $\left(0 , 7\right)$ are joined, the required line is obtained.