Question

is the slope of each line positive, negative, zero or undefined? 1. 2. 3. 4. 5. find the slope of the line. accurate show triangles

Explanation:

Step1: Determine slope type for line 1

A line that rises from left - to - right has a positive slope.

Step2: Determine slope type for line 2

A vertical line has an undefined slope (since \(x_2 - x_1=0\) in the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)).

Step3: Determine slope type for line 3

A line that falls from left - to - right has a negative slope.

Step4: Determine slope type for line 4

A horizontal line has a zero slope (since \(y_2 - y_1 = 0\) in the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)).

Step5: Calculate slope for line 5

Let the points be \((x_1,y_1)=(- 5,5)\) and \((x_2,y_2)=(5,1)\).
Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
\(m=\frac{1 - 5}{5-(-5)}=\frac{-4}{10}=-\frac{2}{5}\)

Answer:

1. Positive
2. Undefined
3. Negative
4. Zero
5. \(-\frac{2}{5}\)