Find the x- and y-intercepts of the graph of the equation $$y = \sqrt { - 8 x - 7 }$$ .
A)x-intercept: $\left( - \frac { 8 } { 7 } , 0 \right)$ y-intercept: none
B)x-intercept: $$\left( - \frac { 7 } { 8 } , 0 \right)$$ y-intercept: $( 0 , - 7 )$
C)x-intercept: $( 7,0 )$ y-intercept: none
D)x-intercept: $( - 8,0 )$ y-intercept: $( 0,7 )$
E)x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: none

Question

Find the x- and y-intercepts of the graph of the equation $$y = \sqrt { - 8 x - 7 }$$ . 
A)x-intercept: $\left( - \frac { 8 } { 7 } , 0 \right)$ y-intercept: none
B)x-intercept: $$\left( - \frac { 7 } { 8 } , 0 \right)$$ y-intercept: $( 0 , - 7 )$
C)x-intercept: $( 7,0 )$ y-intercept: none
D)x-intercept: $( - 8,0 )$ y-intercept: $( 0,7 )$
E)x-intercept: $\left( - \frac { 7 } { 8 } , 0 \right)$ y-intercept: none

Quizplus · Accepted Answer

To find the x-intercept, set $y = 0$ and solve for $x$: $$0 = \sqrt{-8x - 7}$$ Squaring both sides gives $0 = -8x - 7$, which simplifies to $8x = -7$ or $x = -\frac{7}{8}$. For the y-intercept, set $x = 0$ and solve for $y$: $y = \sqrt{-8(0) - 7} = \sqrt{-7}$. Since the square root of a negative number is not real, there is no y-intercept.

Find the X- and Y-Intercepts of the Graph of the Equation