Find the x- and y-intercepts of the graph of the equation $$y = | 13 x - 7 |$$ .
A)x-intercept: $\left( - \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,13)
B) x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$
Y-intercept: (0,-7)
C)x-intercept: (-7,0) y-intercept: (0,13)
D)x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: none
E)x-intercept: $\left( \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,7)

Question

Find the x- and y-intercepts of the graph of the equation $$y = | 13 x - 7 |$$ . 
A)x-intercept: $\left( - \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,13)
B) x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$
Y-intercept: (0,-7)
C)x-intercept: (-7,0) y-intercept: (0,13)
D)x-intercept: $\left( - \frac { 13 } { 7 } , 0 \right)$ y-intercept: none
E)x-intercept: $\left( \frac { 7 } { 13 } , 0 \right)$ y-intercept: (0,7)

Quizplus · Accepted Answer

To find the x-intercept, set y = 0: $0 = |13x - 7|$ implies $13x - 7 = 0$ or $13x - 7 = 0$, giving $x = \frac{7}{13}$. For the y-intercept, set x = 0: $y = |13(0) - 7| = 7$, so the y-intercept is (0,7).

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