How do you Graph 6x-4y=-24

Plot the equation with respect to y, so let's re-write the equation in slope intercept form:

6x - 4y = - 24

*subtract 6x from both sides, then divide through by - 4

-4y = - 6x - 24

y = (-6/-4) x + (-24/-4)

y = (3/2) x + 6

In slope intercept form:

y = mx + b

where:

m = slope

b = y-intercept

To answer the question, the line crosses the vertical axis line at 6 units up and has a positive slope where the rise 3 units and the run is 2 units