Desmos Graphing Calculator

CalcReferenceCopy

Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

medium

For the absolute value function in the system:
Moving from left to right, the graph slants sharply down to its vertex and then slants sharply up.
The function passes through the following points:
($-1.5$, $5.5$)
($-1$, $5$)
($-0.5$, $5.5$)
For the linear function in the system:
The function slants up from left to right.
The function passes through the following points:
($-1.5$, $5.5$)
($0$, $7$)

The graph of a system of an absolute value function and a linear function is shown. What is the solution $(x,y)$ to this system of two equations?

A

$(0,7)$

B

$\left(\frac{3}{2},\frac{11}{2}\right)$

C

$\left(-\frac{3}{2},\frac{11}{2}\right)$

D

$(-1,5)$