# How do you graph using the intercepts for 5x-y=3?

Nov 8, 2015

Set $y = 0$ and then $x = 0$ to find the x and y intercepts, respectively, and then draw a line through the two points.

#### Explanation:

The x-intercept of a graph is where it intersects the x-axis, that is, where $y = 0$.
Setting $y = 0$ in this equation gives us

$5 x - 0 = 3 \implies x = \frac{3}{5}$

Thus the equation has the x-intercept $\left(\frac{3}{5} , 0\right)$

The y-intercept of a graph is where it intersects the y-axis, that is, where $x = 0$.
Setting $x = 0$ in this equation gives us

$5 \left(0\right) - y = 3 \implies y = - 3$

Thus the equation has the y-intercept $\left(0 , - 3\right)$

As the equation is linear, only two points are needed in order to graph it. So, plot the intercepts found, and draw a line through them to create the graph:

graph{y = 5x-3 [-8.22, 8.24, -5.11, 3.12]}