Question1) Determine the slope of each line.
Studdy Solution
STEP 1
1. The slope of a line is calculated using the formula , where and are two distinct points on the line.
2. The slope is a measure of the steepness and direction of a line.
3. A vertical line has an undefined slope.
STEP 2
1. Calculate the slope of Line AB.
2. Calculate the slope of Line CD.
3. Calculate the slope of Line EF.
4. Determine the slope of Line GH.
STEP 3
Identify the coordinates of points A and B for Line AB: and .
STEP 4
Apply the slope formula:
The slope of Line AB is 1.
STEP 5
Identify the coordinates of points C and D for Line CD: and .
STEP 6
Apply the slope formula:
The slope of Line CD is .
STEP 7
Identify the coordinates of points E and F for Line EF: and .
STEP 8
Apply the slope formula:
The slope of Line EF is .
STEP 9
Identify the coordinates of points G and H for Line GH: and .
STEP 10
Since both points have the same x-coordinate, Line GH is a vertical line.
The slope of a vertical line is undefined.
The slopes of the lines are:
- Line AB: 1
- Line CD:
- Line EF:
- Line GH: undefined
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