Question

solve this system of equations by graphing. first graph the equations, and then type the solution.

$y = -4x - 2$

$x = -1$

click to select points on the graph.

the solution is $\left(\square, \square\
ight).$

Explanation:

Step1: Analyze the equation \(x = -1\)

The equation \(x=-1\) represents a vertical line where the \(x\)-coordinate is always \(-1\) for any \(y\)-value.

Step2: Substitute \(x = -1\) into \(y=-4x - 2\)

Substitute \(x=-1\) into the equation \(y=-4x - 2\). We get \(y=-4\times(-1)-2\). First, calculate \(-4\times(-1)=4\), then \(y = 4-2=2\). So the solution to the system of equations is the point where \(x=-1\) and \(y = 2\), which is the intersection point of the two lines \(y=-4x - 2\) and \(x=-1\).

Answer:

\((-1, 2)\)