Calculating Slope Lesson

Slope Cont.

Learning Target

• I can calculate the slope of a line using two points.

Multiple Choice

Which letter represents slope in the linear equation y = mx + b?

• y

• m

• x

• b

Multiple Choice

Slope represents the....

• Rate of Change

• Linear Equations

• Independent Variable

• Dependent Variable

Slope

• Slope is the Constant Rate of Change

•  $m=\frac{y_2-y_1}{x_2-x_1}$  

• When given two points,  $\left(x_1,\ y_1\right)\ and\ \left(x_2,\ y_2\right)$  

The Relationship Between Tables and Points

Find the slope of the line that passes through (–2, –3) and (4, 6).

•  $m=\frac{y_2-y_1}{x_2-x_1}$  

•  $m=\frac{6-\left(-3\right)}{4-\left(-2\right)}$  

•  $m=\frac{6+3}{4+2}=\frac{9}{6}$  

•  $m=\frac{3}{2}$  

Find the Slope of the Data Table

•  $m=\frac{y_2-y_1}{x_2-x_1}$  

•  $m=\frac{45-30}{3-2}$  

•  $m=\frac{15}{1}=15$  

Multiple Choice

Find the slope of a line with points (6, 7) and (4, 2).

​

• 
  

  $$\frac{2}{5}$$
  

• $$\frac{5}{2}$$

• $$-\frac{1}{2}$$

• $$1$$

Multiple Choice

Find the slope of the table presented.

• $$4$$

• $$\frac{2}{4}$$

• $$1$$

• 
  

  $$2$$