Question

the slope of a line is a measure of its steepness and indicates whether it goes up or down from left to right. for example, the slope of the line segment a at right is 1/2, while the slope of the line segment b is -3/4. for each line segment below, find the slope. you may want to copy each line segment on graph paper in order to draw slope triangles. a. b. c. d.

Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{\text{rise}}{\text{run}}$, where rise is the vertical change and run is the horizontal change between two points on a line - segment.

Step2: For each line - segment

Count the vertical and horizontal changes between the endpoints of the line - segment on the grid.

• If the line goes up from left to right, the slope is positive. If it goes down from left to right, the slope is negative.
• For example, if the rise is $a$ units and the run is $b$ units, the slope $m = \frac{a}{b}$ (simplify if possible).

Step3: Analyze each line - segment on the grid

1. Identify two clear points on the line - segment.
2. Determine the vertical distance (rise) between the two points.
3. Determine the horizontal distance (run) between the two points.
4. Calculate the slope $m=\frac{\text{rise}}{\text{run}}$.

Since the actual grid - based line - segments are not provided with specific coordinates or clear rise - run values in text form, we assume a general approach.

Answer:

To find the slope of each line - segment, count the vertical change (rise) and horizontal change (run) between two points on the line - segment. If the line goes up from left to right, the slope is positive. If it goes down from left to right, the slope is negative. Use the formula $m = \frac{\text{rise}}{\text{run}}$ to calculate the slope value.