Question

select the correct answer from each drop-down menu.
the system of linear equations represented in the graph is
the solution of this system of equations is (-3, -5) .
graph of two lines on a coordinate plane with x-axis from -8 to 8 and y-axis from -9 to 9. drop-down menu options for equations: y = x - 2, y = 4x + 3; y = x + 2, y = 3x - 4; y = x - 2, y = 3x + 4; y = x + 2, y = 4x - 3

Explanation:

Step1: Identify linear line slope/intercept

The straight line has y-intercept $-2$, slope $1$, so equation $y = x-2$.

Step2: Identify steep line slope/intercept

The steeper line has y-intercept $4$, slope $3$, so equation $y = 3x+4$.

Step3: Verify solution

Substitute $x=-3$: $y = -3-2=-5$, $y=3(-3)+4=-5$.

Answer:

1. The system is $\boldsymbol{y = x - 2, y = 3x + 4}$
2. The solution is $\boldsymbol{(-3, -5)}$