Question

types of slope
slope = vertical change / horizontal change = rise / run
m = 2/3
positive: increasing from left to right
negative: decreasing from left to right
zero: horizontal line, not increasing or decreasing from left to right
undefined: vertical line, line does not move to the left or right
find the slope of each line
1)
graph of a line through the origin with a positive slope
m = 1/2
2)
graph of a line with a negative slope
m = -2/2
3)
graph of a line with a negative slope
m = -4/3
4)
graph of a line with a negative slope
m = -3/4
5)
graph not fully visible
6)
graph not fully visible

Explanation:

Step1: Identify rise/run for Line 1

From the graph, vertical change (rise) = 1, horizontal change (run) = 2.
$m = \frac{1}{2}$

Step2: Simplify slope for Line 2

Vertical change = -2, horizontal change = 2. Simplify the fraction.
$m = \frac{-2}{2} = -1$

Step3: Simplify slope for Line 3

Vertical change = -4, horizontal change = 3. The fraction is already in simplest form.
$m = \frac{-4}{3}$

Step4: Simplify slope for Line 4

Vertical change = -3, horizontal change = 4. The fraction is already in simplest form.
$m = \frac{-3}{4}$

Answer:

1. $m = \frac{1}{2}$
2. $m = -1$
3. $m = \frac{-4}{3}$
4. $m = \frac{-3}{4}$