Question

Which graph shows the system of equations 4 x + y = 3 and 2 x - 3 y = 3? On a coordinate plane, a line goes through (0, -1) and (3, 1) and another line goes through (0, 3) and (1, -1). On a coordinate plane, a line goes through (0, 3) and (-1, -1) and another line goes through (0, -3) and (3, -1). On a coordinate plane, a line goes through (0, 3) and (-1, -1) and another line goes through (0, -1) and (3, 1). PS. Could you also explain it to me please

Answer 1

On a coordinate plane, a line goes through (0, -1) and (3, 1) and another line goes through (0, 3) and (1, -1).

Explanation:

4x + y = 3

y = -4x + 3

This is a line with slope -4 and y-intercept (0, 3).

m = Δy/Δx = -4/1. When x increases by 1, y decreases by 4, so the line passes through (1, -1).

2x − 3y = 3

-3y = -2x + 3

y = ⅔x − 1

This is a line with slope ⅔ and y-intercept (0, -1).

m = Δy/Δx = 2/3. When x increases by 3, y increases by 2, so the line passes through (3, 1).