Question

when graphing the line $y = 2x + 1$, how do you move from one point to another on the line?

options:

• 2 units up, 1 unit to the right
• 2 units up, 1 unit to the left
• 1 unit down, 2 units to the right
• 1 unit up, 2 units to the right

Explanation:

Step1: Identify slope form

The line is $y=mx+b$, where $m$ is slope.

Step2: Extract slope value

For $y=2x+1$, slope $m=2=\frac{2}{1}$.

Step3: Interpret slope movement

Slope = $\frac{\text{rise}}{\text{run}}$, so rise 2, run 1 (right).

Answer:

2 units up, 1 unit to the right