Question #97270

1 Answer
Apr 12, 2017

Equation is already in #y=mx+b# format. Just graph using the slope and y-intercept.

Explanation:

So the equation (#y=9/4x-4#) is already in #y=mx+b# format.
=> Where #9/4# is the slope, #m#.
=> Where #-4# is the y-intercept, #b#.

All we have to do is graph it.

graph{9/4x-4 [-10, 10, -5, 5]}

I think what you have difficulty with, is the slope. You can use the #"rise"/"run"# method to graph the slope.

Basically, all numerators are #"rise"#, and all denominators are #"run"#. So in this case, starting at #(0, -4)#, move up #9# points, then right #4# points, giving us #(4, 5)#.

You also do the opposite: starting at #(0, -4)#, move down #9# points, then left #4# points, giving us #(-4, -13)#.

Connect them with a straight line and BAM!

Hope this helps :)