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What is the product of the x−intercept and y−intercept of the equation 6x−8y=24

How do I solve this problem?

Please do not send the answer, just help me figure out what I'm supposed to do, please!

 Jul 25, 2016

Best Answer 

 #1
avatar+33616 
+10

Set y equal to zero and find the corresponding value of x.  This gives you the x-intercept.

Set x equal to zero and find the corresponding value of y.  This gives you the y-intercept.

 

Then multiply the two results together.

 Jul 25, 2016
 #1
avatar+33616 
+10
Best Answer

Set y equal to zero and find the corresponding value of x.  This gives you the x-intercept.

Set x equal to zero and find the corresponding value of y.  This gives you the y-intercept.

 

Then multiply the two results together.

Alan Jul 25, 2016
 #2
avatar+26379 
+5

What is the product of the x−intercept and y−intercept of the equation 6x−8y=24

How do I solve this problem?

Please do not send the answer, just help me figure out what I'm supposed to do, please!

 

\(\begin{array}{|rcll|} \hline 6x-8y &=& 24 \qquad & | \qquad : 24 \\ \frac{6}{24}x-\frac{8}{24}y &=& 1 \\ \frac{x}{4}-\frac{y}{3} &=& 1 \\ \frac{x}{4}+\frac{y}{-3} &=& 1 \\ \frac{y}{\underbrace{-3}_{y-intercept}}+ \frac{x}{\underbrace{4}_{x-intercept}} &=& 1 \\ \hline \end{array} \)

 

y−intercept * x−intercept  = -3 * 4 = -12

 

laugh

 Jul 26, 2016

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