Question

finding slope #1 (graphing method)
graph the points and find slope using ( m = \frac{\text{rise}}{\text{run}} )

1. plot the points ( (0, 2) ) and ( (4, 3) ) and find slope
2. plot the points ( (0, -3) ) and ( (2, 1) ) and find the slope.
3. plot the points ( (0, -1) ) and ( (1, 4) ) and find the slope.
4. plot the points ( (0, 3) ) and ( (4, 1) ) and find the slope.
5. plot the points ( (0, 1) ) and ( (1, -3) ) and find the slope.
6. plot the points ( (0, -3) ) and ( (3, -1) ) and find the slope.
7. plot the point ( (0, -2) ) and ( (1, 2) ) and find the slope.
8. plot the point ( (0, 4) ) and ( (2, -6) ) and find the slope.

Explanation:

Problem 1:

Step1: Identify rise and run

Points: \((0, 2)\) and \((4, 3)\). Rise = \(3 - 2 = 1\), Run = \(4 - 0 = 4\).

Step2: Calculate slope

Slope \(m = \frac{\text{Rise}}{\text{Run}} = \frac{1}{4}\).

Step1: Identify rise and run

Points: \((0, -3)\) and \((2, 1)\). Rise = \(1 - (-3) = 4\), Run = \(2 - 0 = 2\).

Step2: Calculate slope

Slope \(m = \frac{4}{2} = 2\).

Step1: Identify rise and run

Points: \((0, -1)\) and \((1, 4)\). Rise = \(4 - (-1) = 5\), Run = \(1 - 0 = 1\).

Step2: Calculate slope

Slope \(m = \frac{5}{1} = 5\).

Answer:

\(\frac{1}{4}\)

Problem 2: