SOLUTION: Name the x and y intercept for 4x-6y = -24

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Question 201871: Name the x and y intercept for 4x-6y = -24
Found 2 solutions by jim_thompson5910, PRMath:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

x-intercept


To find the x-intercept, plug in y=0 and solve for x


4x-6y+=+-24 Start with the given equation.


4x-6%280%29+=+-24 Plug in y=0.


4x-0+=+-24 Multiply -6 and 0 to get 0.


4x+=+-24 Simplify.


x=%28-24%29%2F%284%29 Divide both sides by 4 to isolate x.


x=-6 Reduce.


So the x-intercept is .


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y-intercept


To find the y-intercept, plug in x=0 and solve for y


4x-6y+=+-24 Start with the given equation.


4%280%29-6y+=+-24 Plug in x=0.


0-6y+=+-24 Multiply 4 and 0 to get 0.


-6y+=+-24 Simplify.


y=%28-24%29%2F%28-6%29 Divide both sides by -6 to isolate y.


y=4 Reduce.


So the y-intercept is .


Notice that if we graph the equation 4x-6y+=+-24, we can see that the graph has the x-intercept and the y-intercept

Graph of 4x-6y+=+-24

Answer by PRMath(133) About Me  (Show Source):
You can put this solution on YOUR website!
Name the x and y intercept for 4x-6y = -24

When you want the "y" intercept, solve for "y" by making the "x" = 0
When you want the "x" intercept, solve for "x" by making the "y" = 0.

Let's solve for the y intercept first:

4x - 6y = -24 (original equation)
4(0) - 6y = -24 (solve for "y" by making "x" =0)
0 - 6y = -24 (divide both sides by -6)
y = 4


Therefore, your "y" intercept is: (0, 4)

Now for the x intercept:

4x - 6y = -24 (original equation)
4x - 6(0) = -24 (solve for "x" by making "y" = 0)
4x = -24 (divide both sides by 4)
x = -6
Therefore, your "x" intercept is: (-6, 0)
Hope this helped you. :-)