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

1 Answer
Nov 9, 2015

Answer:

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).