# How do you find the x and y intercept given 1/4(x+y)=2?

Nov 9, 2015

The final answer would be: $y = - 1 x + 8$ , and the x and y intercept would be (0,-8).
1. We see in the original equation $\frac{1}{4} \left(x + y\right)$ which is something we can distribute, and that would result in $\frac{1}{4} x + \frac{1}{4} y = 2$ .
2.Slope-intercept form is $y = m x + b$ which means we need to get the $x$ on the other side. In order to do this, we would subtract $\frac{1}{4} x$ on both sides giving us $\frac{1}{4} y = 2 - \frac{1}{4} x$ or the more correct slope-intercept form being $\frac{1}{4} y = - \frac{1}{4} x + 2$.
3.However, y in the slope-intercept form needs to be alone. To accomplish this, we would divide $\frac{1}{4}$ on both sides. This would lead to the next form which is: $y = - 1 x + 8$.
4.The $b$ in $y = m x + b$ represents the intercept, so in the end we would know that the intercept is (0,-8).