How do you solve #x+y= -6#, #y=3x+10# by graphing?

1 Answer
LizZ
Dec 18, 2017

Graph both lines, look for the intersection. They meet at #(-4,-2)#.

Explanation:

You want both equations in #y=mx+b# format so they're easier to graph. You can either put them in your calculator or sketch the graphs by looking at the slopes and intercepts in the equation.
For #x+y=-6#, subtract x from both sides to get #y=-x-6#. Your y-intercept is -6, and the slope is -1. Graph both lines on the same plane, and look to see where they meet. Here are the lines, and they meet at #(-4,-2)#.
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