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

Question

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

Quizplus · Accepted Answer

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