Question

1. graphing a line and solving for slope

key ideas

• to graph a line using slope - intercept form:

1. plot the y - intercept.
2. use the slope to find another point.

• slope between two points: $m=\frac{y_2 - y_1}{x_2 - x_1}$

practice:

1. find the slope of the line passing through the points (2, 3) and (6, 11).
2. graph the line $y=\frac{1}{2}x - 1$. state the slope.

Explanation:

Step1: Identify points for slope

Let $(x_1,y_1)=(2,3)$ and $(x_2,y_2)=(6,11)$

Step2: Apply slope formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{11-3}{6-2}=\frac{8}{4}=2$

Step3: Identify slope from line equation

For $y=\frac{1}{2}x - 1$, slope is the coefficient of $x$.

Answer:

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