Question

Estimate the solution of the system of equations.

Two intersecting lines graphed on a coordinate plane. One line passes through the points zero comma 4 and 2 comma 1. The other line passes through the points zero comma 3 and 2 comma 2. The lines intersect at the point that is about 2 and one half units above and 1 unit to the right of the origin.

(
,
)

Answer 1

(1, 2.5)

Work: Line 1: slope = (1-4)/(2-0) = -3/2 → y = 4 - 1.5x.
Line 2: slope = (2-3)/(2-0) = -1/2 → y = 3 - 0.5x.
Set equal: 4 - 1.5x = 3 - 0.5x → x = 1, then y = 3 - 0.5(1) = 2.5.