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Graphing Two-Variable Linear Inequalities

Question 6 • APSB 2025 Math Essentials-ALP

The blue line is the graph of y = –x + 3. Use the sliders to make the orange line represent y = –2x + 9. Examine the graph. What appears to be the solution of this system of equations?

Answer
A
(–4, –1)
B
(1, 2)
C
(6, –3)
D
(–1, 3)

Explanation

The solution is where the two lines have the same x- and y-values. Set their equations equal: −x + 3 = −2x + 9, which gives x = 6; substituting into y = −x + 3 gives y = −3. The lines intersect at (6, −3), choice C.

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