Question

6-21. graph the lines $y = x + 2$ and $y = 2x - 1$ on the same set of axes. what is their point of intersection? (homework help available 6.1.2)
the point of intersection is:

Explanation:

Step1: Set the equations equal

Since at the intersection point, the \( y \)-values are equal, set \( x + 2 = 2x - 1 \).

Step2: Solve for \( x \)

Subtract \( x \) from both sides: \( 2 = x - 1 \). Then add 1 to both sides: \( x = 3 \).

Step3: Find \( y \)

Substitute \( x = 3 \) into \( y = x + 2 \): \( y = 3 + 2 = 5 \).

Answer:

\((3, 5)\)