Question 1210574
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As the other tutor says, you COULD put the equation in slope-intercept form and make the graph using the slope and y-intercept.<br>
However, when the given equation is in this form, finding the equation in slope-intercept form requires extra algebra work.<br>
Instead, use the x- and y-intercepts.<br>
OOPS!!! I didn't see the "-" on the right side of the equation....<br>
Here is my corrected response.<br>
The x-intercept is the x value when y is 0:
{{{4x+3(0)=-24}}}
{{{4x=-24}}}
{{{x=-24/4=-6}}}
The x-intercept is (-6,0)<br>
The y-intercept is the value of y when x is 0:
{{{4(0)+3y=-24}}}
{{{3y=-24}}}
{{{y=-24/3=-8}}}
The y-intercept is (0,-8)<br>
Two points on the graph are (-6,0) and (0,-8).  The graph is the straight line containing those two points.<br>
{{{graph(400,400,-8,12,-8,12,(-4/3)x-8)}}}<br>
Note that drawing the graph by using two known points is easier than by using the slope and y-intercept.  So this method of drawing the graph requires no extra algebra, and the actual drawing of the graph is easier.<br>