Question

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

Answer 1

The final answer would be: `y=-1x+8` , and the x and y intercept would be (0,-8).

Explanation:

1. We see in the original equation `1/4(x+y)` which is something we can distribute, and that would result in `1/4x+1/4y=2` .

2.Slope-intercept form is `y=mx+b` which means we need to get the `x` on the other side. In order to do this, we would subtract `1/4x` on both sides giving us `1/4y=2-1/4x` or the more correct slope-intercept form being `1/4y=-1/4x+2`.
3.However, y in the slope-intercept form needs to be alone. To accomplish this, we would divide `1/4` on both sides. This would lead to the next form which is: `y=-1x+8`.
4.The `b` in `y=mx+b` represents the intercept, so in the end we would know that the intercept is (0,-8).