Question

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

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

For points \((0, 2)\) and \((4, 3)\), rise is \(3 - 2 = 1\), run is \(4 - 0 = 4\).

Step2: Calculate slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{1}{4}\).

Step1: Identify rise and run

For points \((0, -3)\) and \((2, 1)\), rise is \(1 - (-3)=4\), run is \(2 - 0 = 2\).

Step2: Calculate slope

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

Step1: Identify rise and run

For points \((0, -1)\) and \((1, 4)\), rise is \(4 - (-1)=5\), run is \(1 - 0 = 1\).

Step2: Calculate slope

Slope \(m=\frac{\text{rise}}{\text{run}}=\frac{5}{1}=5\) (Note: The original handwritten answer has a negative sign which is incorrect here as \(4 - (-1)=5\) and \(1 - 0 = 1\), so slope is positive 5).

Answer:

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

Problem 2: