Lesson 10

Calculating Slope

Let’s calculate slope from two points.

Problem 1

For each graph, calculate the slope of the line.

3 graphs of lines labeled A, B, C.

Problem 2

Match each pair of points to the slope of the line that joins them.

A:

\((9,10)\) and \((7,2)\)

B:

\((\text-8,\text-11)\) and \((\text-1,\text-5)\)

C:

\((5,\text-6)\) and \((2,3)\)

D:

\((6,3)\) and \((5,\text-1)\)

E:

\((4,7)\) and \((6,2)\)

1:

4

2:

\(\text-3\)

3:

\(\text-\frac52\)

4:

\(\frac67\)

Problem 3

Draw a line with the given slope through the given point. What other point lies on that line?

Coordinate grid with points A, B, C, D, E, F plotted.
  1. Point A, slope = \(\text-3\)
  2. Point A, slope = \(\frac {\text{-}1}{4}\)
  3. Point C, slope = \(\frac {\text{-}1}{2}\)
  4. Point E, slope = \(\frac {\text{-}2}{3}\)

Problem 4

Make a sketch of a linear relationship with a slope of 4 and a negative \(y\)-intercept. Show how you know the slope is 4 and write an equation for the line.

(From Unit 3, Lesson 8.)