Question

transformations and similarity review
what is the solution to the system of equations represented on the graph?
(1 point)
(-1, -5)
(-5, -1)
no solutions
infinitely many solutions

Explanation:

Step1: Recall system solution on graph

The solution to a system of linear equations represented by graphs is the point of intersection of the two lines.

Step2: Identify intersection point

Looking at the graph, the two lines \( y = 3x - 2 \) and \( y=-x - 6 \) intersect at the point where \( x=- 1\) and \( y = - 5\), which is the point \((-1,-5)\).

Answer:

\(\boldsymbol{(-1, -5)}\) (corresponding to the option: \((-1, -5)\))