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)#.
enter image source here

Related questions
See all questions in Graphs of Linear Systems
Impact of this question
2519 views around the world
You can reuse this answer
Creative Commons License