Question

find the slope using the graph or two points. simplify your answer.

1. (-2,3) and (-1,0)
2. (-1,-1) and (2,3)

section 2 - 1b: slope - intercept form
graph the linear equation in slope - intercept form.

1. y=-3x + 6 m=-3, b = 6 (0,6)

Explanation:

Step1: Identify slope - formula

The formula for the slope $m$ between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: For the points $(-2,3)$ and $(-1,0)$

Let $(x_1,y_1)=(-2,3)$ and $(x_2,y_2)=(-1,0)$. Then $m=\frac{0 - 3}{-1-(-2)}=\frac{-3}{-1 + 2}=\frac{-3}{1}=-3$.

Step3: For graphing $y=-3x + 6$

The slope - intercept form is $y=mx + b$, where $m=-3$ is the slope and $b = 6$ is the y - intercept. Plot the y - intercept at the point $(0,6)$. Then, using the slope of $-3=\frac{-3}{1}$, from the point $(0,6)$ move 1 unit to the right and 3 units down to find another point $(1,3)$. Draw a straight line through these points.

Answer:

The slope between $(-2,3)$ and $(-1,0)$ is $-3$. To graph $y=-3x + 6$, plot the y - intercept $(0,6)$ and use the slope to find more points and draw the line.