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!
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.
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