SOLUTION: (writing linear equations in slope-intercept form) Find the x and y intercepts of the graph of each equation. 4x-3y = 12

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Question 118259: (writing linear equations in slope-intercept form)
Find the x and y intercepts of the graph of each equation.
4x-3y = 12
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

4%2Ax-3%2Ay=12 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
4%2Ax-3%2A%280%29=12 Plug in y=0

4%2Ax=12 Simplify

x=12%2F4 Divide both sides by 4


x=3 Reduce



So the x-intercept is (note: the x-intercept will always have a y-coordinate equal to zero)



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4%2Ax-3%2Ay=12 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
4%2A%280%29-3%2Ay=12 Plug in x=0

3%2Ay=12 Simplify

x=12%2F-3 Divide both sides by -3



y=-4 Reduce



So the y-intercept is (note: the y-intercept will always have a x-coordinate equal to zero)

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So we have these intercepts:
x-intercept:

y-intercept:



Now plot the two points and




Now draw a line through the two points to graph 4%2Ax-3%2Ay=12
graph of 4%2Ax-3%2Ay=12 through the points and