Find the x- and y-intercepts of the graph of the equation. $$y = \sqrt { 2 x + 7 }$$
A) $x$-intercept $- \frac { 2 } { 7 } , y$-intercept $- \sqrt { 7 }$
B) $x$-intercept $- \frac { 7 } { 2 } , y$-intercept $- \sqrt { 7 }$
C) $x$-intercept $\frac { 2 } { 7 } , y$-intercept $\sqrt { 7 }$
D) $x$-intercept $- \frac { 7 } { 2 } , y$-intercept $\sqrt { 7 }$
E) $x$-intercept $\frac { 7 } { 2 } , y$-intercept $- \sqrt { 7 }$

Question

Quizplus · Accepted Answer

To find the x-intercept, set $y = 0$ and solve for $x$: $0 = \sqrt{2x + 7}$, which gives $x = -\frac{7}{2}$. To find the y-intercept, set $x = 0$ and solve for $y$: $y = \sqrt{2(0) + 7} = \sqrt{7}$.

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