Question

solve this system of equations by graphing. first graph the equations, and then type the solution.
$y = -x - 7$
$y = -4$
click to select points on the graph.
graph with grid, axes, and the line $y = -x - 7$ plotted, and the line $y = -4$ to be plotted
the solution is $(-3, -4)$.

Explanation:

Step1: Analyze the equations

We have two equations: \( y = -x - 7 \) (a linear equation with slope -1 and y-intercept -7) and \( y = -4 \) (a horizontal line where y is always -4).

Step2: Find the intersection

To find the solution, we need to find the point where these two lines intersect. Since \( y = -4 \), we substitute \( y = -4 \) into the first equation:
\[
-4 = -x - 7
\]

Step3: Solve for x

Add 7 to both sides:
\[
-4 + 7 = -x
\]
\[
3 = -x
\]
Multiply both sides by -1:
\[
x = -3
\]

Answer:

The solution to the system of equations is \((-3, -4)\)