How do you find slope and intercepts to graph ##y=3x-8##?

the of this graph is the coefficient of x, the x and y intercepts can be found by making x=0 and y=0

As already established, the slope is the coefficient of x, so 3.

Finding the x intercept (make y=0) ##3x-8=0## ##3x=8## ##x=8/3## ##(8/3,0)##

Finding the y intercept (make x=0) ##y=3(0)-8## ##y=-8## ##(0,-8)##

And here is the graph: graph{3x-8 [-10.75, 11.75, -9.97, 1.28]}