Question

1. from unit 3, lesson 12

match each graph to its equation.

a
graph a
b
graph b
c
graph c
d
graph d

a. y = 2x + 3
b. y = -2x + 3
c. y = 2x - 3
d. y = -2x - 3

Explanation:

Step1: Identify slope and y-intercept

Use slope-intercept form $y=mx+b$, where $m$ is slope, $b$ is y-intercept.

Step2: Match Graph A

Positive slope ($m=2$), y-intercept $b=3$. Equation: $y=2x+3$

Step3: Match Graph B

Positive slope ($m=2$), y-intercept $b=-3$. Equation: $y=2x-3$

Step4: Match Graph C

Negative slope ($m=-2$), y-intercept $b=3$. Equation: $y=-2x+3$

Step5: Match Graph D

Negative slope ($m=-2$), y-intercept $b=-3$. Equation: $y=-2x-3$

Answer:

• A. $y=2x+3$
• B. $y=2x-3$
• C. $y=-2x+3$
• D. $y=-2x-3$