# How do you find the intercepts of  4y = 2x +6?

Aug 10, 2016

$x = - 3 \mathmr{and} y = \frac{3}{2}$

#### Explanation:

A line has an x-intercept and a y-intercept, the points where it crosses the x-axis and the y-axis respectively.

On the y-axis, $x = 0$ and on the x-axis, $y = 0.$

In $4 y = 2 x + 6$

To find the y-intercept , make $x = 0$

$4 y = 0 + 6 \text{ } \Rightarrow y = \frac{6}{4} = \frac{3}{2}$

To find the x-intercept , make $y = 0$

$0 = 2 x + 6 \text{ " rArr 2x =-6 " } \Rightarrow x = - 3$