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# A line is described by the equation $y-4=4(x-8)$. What is the sum of its $x$-intercept and $y$-intercept?

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A line is described by the equation $y-4=4(x-8)$. What is the sum of its $x$-intercept and $y$-intercept?

Apr 19, 2018

#1
+17338
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y-4 = 4x-32

y= 4x - 28           when x = 0    you get the y intercept      y = -28

when y=  0 you get the x intercept         x = 7            Sum = -21

Apr 19, 2018
#2
+21869
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A line is described by the equation $y-4=4(x-8)$.

What is the sum of its $x$-intercept and $y$-intercept?

$$\begin{array}{|rcll|} \hline y-4 &=& 4(x-8) \\ y-4 &=& 4x-32 \\ 4x-y &=& 32-4 \\ 4x-y &=& 28 \quad & |\quad : 28 \\ \dfrac{x}{7}-\dfrac{y}{28} &=& 1 \\ \dfrac{x}{\mathbf{7}}+\dfrac{y}{\mathbf{-28}} &=& 1 \\\\ \mathbf{7-28} &\mathbf{=}& \mathbf{-21} \\ \hline \end{array}$$

The sum is -21

Apr 19, 2018
edited by heureka  Apr 19, 2018