For questions 1–4, find the slope of the following graphs.
1.
(1 point)
2
–2
–
2.
(1 point)
1
–1
–
3.
(1 point)
3
–
4.
(1 point)
0
1
–1
undefined
For questions 5 and 6, find the slope of the line that goes through the following points.
5.
(1 point)
–1
1
–4
–7
6.
(1 point)
–5
–3
–
3
Lesson 4: Understanding Slope
Algebra Readiness (Pre-Algebra) B Unit 1: Functions
Quick Check:
1. C (-2)
2. C (-1)
3. A (2/3 or you could say 2 over 3)
4. B (1)
5. D (3)
These answers will give you a 5/5 100%
Remember the teachers can change the order of the questions or the questions in general, or they could change the answers.
But as of right now (1/29/2019 Tuesday), these answers are correct!
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Got a 100%
To find the slope of a graph, you can use the slope formula:
slope = (change in y-coordinates)/(change in x-coordinates)
For questions 1-4, the slopes can be determined from the given values:
1. Slope = 2/1 = 2
2. Slope = -2/1 = -2
3. Slope = 0/3 = 0
4. The given graph is a vertical line, which means the slope is undefined.
For questions 5-6, you need to calculate the slope using the coordinates of the given points:
5. To find the slope of the line passing through two points (x1, y1) and (x2, y2), use the formula:
slope = (y2 - y1)/(x2 - x1)
Let's assume the points given are (x1, y1) = (-1, 1) and (x2, y2) = (-4, -7).
slope = (-7 - 1)/(-4 - (-1)) = -8/-3 = 8/3
Therefore, the slope of the line passing through the points (-1, 1) and (-4, -7) is 8/3.
6. Using the given points (x1, y1) = (-5, -3) and (x2, y2) = (3, -7), we can calculate the slope:
slope = (-7 - (-3))/(3 - (-5)) = (-7 + 3)/(3 + 5) = -4/8 = -1/2
Hence, the slope of the line passing through (-5, -3) and (3, -7) is -1/2.