Question

when graphing the line $y = \frac{1}{2}x - 1$, how do you move from one point to another on the line?\
\
\bigcirc 2 units up, 1 unit to the left\
\bigcirc 1 unit up, 2 units to the left\
\bigcirc 1 unit up, 2 units to the right\
\bigcirc 2 units up, 1 unit to the right

Explanation:

Step1: Identify slope from equation

The line is $y=\frac{1}{2}x-1$, slope $m=\frac{1}{2}$.

Step2: Interpret slope meaning

Slope $m=\frac{\text{rise}}{\text{run}}=\frac{1}{2}$, so rise=1, run=2.

Step3: Match to movement options

Rise 1 (up 1) and run 2 (right 2) matches the option.

Answer:

1 unit up, 2 units to the right