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

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) (Show Source): You can put this solution on YOUR website!

Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
Plug in

Simplify

Divide both sides by 4

Reduce

So the x-intercept is

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

------------------

Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
Plug in

Simplify

Divide both sides by -3

Reduce

So the y-intercept is

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

------------------------------------------

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
graph of through the points

and

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