Question 804134
Your system of two equations:
y=4x-7
 3x+2y=30


Solve both equations for y, and graph each line on the same coordinate system.

The second equation, {{{2y=-3x+30}}}
{{{y=-(3/2)x+30/2}}}
{{{y=-(3/2)x+15}}} Slope Intercept form.

The first equation is already solved for y and is in slope intercept form.


y-intercept for the first equation is read from the equation, at y=-7.
y-intercept for the second equation is +15=y.
You would use the slope to count where other reference points are found.


THIS graph helps you see how to plot the lines.
{{{graph(500,500,-10,15,-10,16,4x-7,-(3/2)x+15)}}}


This graph lets you see the intersection of the lines more closely:
{{{graph(500,500,-1,10,-1,12,4x-7,-(3/2)x+15)}}}
Notice the intersection appears to be (4,9).