# How do you graph x-2y=6 using intercepts?

Jan 4, 2017

$\text{intercepts are " x=6" and } y = - 3$

#### Explanation:

When the graph crosses the x-axis (x-intercept) the corresponding y-coordinate is zero. Let y = 0 in the equation and solve for x.

$y = 0 \Rightarrow x - 0 = 6 \Rightarrow x = 6 \leftarrow \text{ x-intercept}$

Similarly when the graph crosses the y-axis (y-intercept) the corresponding x-coordinate is zero. Let x = 0 in the equation and solve for y.

$x = 0 \Rightarrow 0 - 2 y = 6 \Rightarrow y = - 3 \leftarrow \text{ y-intercept}$

Plot the 2 points (6 ,0) and (0 ,-3) and draw a straight line through them. This gives the graph of the given equation.
graph{1/2x-3 [-10, 10, -5, 5]}