How do you graph #y=-4x+3#?

1 Answer
Nov 15, 2016

graph{y=-4x+3 [-5.17, 4.83, 0.59, 5.59]}
See below for explanation.

Explanation:

The equation is in the form #y=mx+b#, where #m# is slope and #b# is the y-intercept.
Slope is in the form of #(rise)/(run)#, or y-distance over x-distance. A negative slope means you go DOWN the y-axis, but the x-axis still goes rightwards.

Your y-intercept, #b=3#, means you have a point at #(0,3)#.
Now, your slope is #m=-4#, or #-4/1#, meaning you go down 4 units and right 1 unit. Use this to graph the next point down, which should be #(1,-1)#.

Connect these two points, and you have your graph.