Question

1. which point is on the graph of the function $y = 3x + 2$?

a. $(1,5)$
b. $(2,3)$
c. $(3,2)$
d. $(5,1)$

Explanation:

Step1: Test point A (1,5)

Substitute \( x = 1 \) into \( y = 3x + 2 \), we get \( y = 3\times1 + 2 = 5 \). So when \( x = 1 \), \( y = 5 \), which matches the point (1,5).

Step2: Test point B (2,3)

Substitute \( x = 2 \) into \( y = 3x + 2 \), we get \( y = 3\times2 + 2 = 8
eq 3 \), so (2,3) is not on the graph.

Step3: Test point C (3,2)

Substitute \( x = 3 \) into \( y = 3x + 2 \), we get \( y = 3\times3 + 2 = 11
eq 2 \), so (3,2) is not on the graph.

Step4: Test point D (5,1)

Substitute \( x = 5 \) into \( y = 3x + 2 \), we get \( y = 3\times5 + 2 = 17
eq 1 \), so (5,1) is not on the graph.

Answer:

A. (1,5)