Question

fill in the blank 2.5 points
use the graph to solve the linear system. type each answer as a coordinate with parenthese
$x - 4y = 12$
$x - y = 0$
type your answer...

Explanation:

Step1: Recall Intersection of Lines

The solution to a linear system is the point where the two lines intersect. So we need to find the intersection point of \(x - 4y = 12\) and \(x - y = 0\) from the graph.

Step2: Analyze the Graph

From the graph, we look for the point where the two lines cross each other. Alternatively, we can solve the system algebraically to verify. From \(x - y = 0\), we get \(x = y\). Substitute \(x = y\) into \(x - 4y = 12\): \(y - 4y = 12\) → \(- 3y = 12\) → \(y=-4\). Then \(x = y=-4\). So the intersection point is \((-4, -4)\).

Answer:

\((-4, -4)\)