SOLUTION: Find the x and y intercepts for the following equation: x-3y = -4

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Question 112075: Find the x and y intercepts for the following equation:
x-3y = -4
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

1%2Ax-3%2Ay=-4 Start with the given equation

Let's find the x-intercept

To find the x-intercept, let y=0 and solve for x:
1%2Ax-3%2A%280%29=-4 Plug in y=0

1%2Ax=-4 Simplify

x=-4%2F1 Divide both sides by 1


x=-4 Reduce



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



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1%2Ax-3%2Ay=-4 Start with the given equation

Now let's find the y-intercept

To find the y-intercept, let x=0 and solve for y:
1%2A%280%29-3%2Ay=-4 Plug in x=0

3%2Ay=-4 Simplify

x=-4%2F-3 Divide both sides by -3



y=4%2F3 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 (which is the point (0,1.33333333333333) in decimal form)




Now draw a line through the two points to graph 1%2Ax-3%2Ay=-4
graph of 1%2Ax-3%2Ay=-4 through the points and