The graph of a line passing through points A, B, and C is shown on the coordinate plane.
1
8.EEI.B.6.a
1
8.EEI.B.6.a
1
8.EEI.B.6.a
The graph of a line is shown.
1
8.EEI.B.6.a
1
8.EEI.B.6.a
1
8.EEI.B.6.a
1
8.EEI.B.6.a
1
8.EEI.B.6.a
1
8.EEI.B.6.a
Question 1
1.
Question 2
2.
Question 3
3.
Question 4
4.
Question 5
5.
Question 6
6.
Question 7
7.
A line on a coordinate plane goes through points A, B, C, and D. The slope of line segment AB is -\frac{1}{2}. What is the slope of line segment CD?
Question 8
8.
Points A, B, C, and D are all on the same line. The slope between points A and C is \frac{4}{5}. What is the slope between points B and D?
Question 9
9.
Points A, B, C, and D all lie on the same line on a coordinate plane.
Use the words below the blank lines to make true statements.
The slope of line segment AB is __________ the slope of line segment CD. The slope of line segment AD is __________ the slope of line segment AB.
Which statement best describes the slope of the line?
The slope is negative from point A to point B because the x-coordinate of point A is negative. The slope is positive from point B to point C because the x-coordinate of point C is positive.
The slope from point A to point B is greater than the slope from point B to point C because the y-coordinate of point A is greater than the y-coordinate of point C.
The slope from point A to point B is greater than the slope from point B to point C because the distance from point A to point B is greater than the distance from point B to point C.
The slope from point A to point B is equivalent to the slope from point B to point C because the ratio of the change in y-values to the change in x-values between point A and point B is equal to the same ratio between point B and point C.
Which statement about the slope between any two points on the same line is true?
The slope between any two points on the same vertical line is 0.
The slope between any two points on the same non-vertical line is undefined.
The slope between any two points on the same vertical line increases as the distance between the two points increases.
The slope between any two points on the same non-vertical line is the same because the proportion of the change in y-values to the change in x-values is the same.
Points A, B, C, and D are on the same non-vertical line. The slope between points A and B is - 2/3. Which statement describes the slope between points C and D?
The slope is - 2/3 because the slope between any two points on a non-vertical line is always the same as the slope between any other two points on the same line.
The slope is 2/3 because the slope between any two points on a non-vertical line is always the opposite of the slope between any other two points on the same line.
The slope is - 3/2 because the slope between any two points on a non-vertical line is always the reciprocal of the slope between any other two points on the same line.
The slope is 3/2 because the slope between any two points on a non-vertical line is always the opposite reciprocal of the slope between any other two points on the same line.
Which statement about the slope of the line is true?
The slope between point A and point B is the same as the slope between point C and point D because both slopes are equivalent to 2.
The slope between point A and point B is the same as the slope between point C and point D because both slopes have the same ratio of change in y-values to change in x-values.
The slope between point A and point B is greater than the slope between point C and point D because the distance between point A and point B is greater than the distance between point C and point D.
The slope between point A and point B is negative because the x-coordinate and y-coordinate of point A are negative, and the slope between point C and point D is positive because the x-coordinate and y-coordinate of point D are positive.
5. Points A, B, C, and D are plotted on the same line on a coordinate plane. Their locations are shown in the list.
A: (1, 3)
B: (2, 4)
C: (3, 5)
D: (4, 6)
Which statement comparing the slopes between different points is correct?
The slope of line segment BD is twice the slope of line segment AB.
The slope of line segment AD is less than the slope of line segment CD.
The slope of line segment BD is the same as the slope of line segment AB.
The slope of line segment AD is greater than the slope of line segment CD.
The graph shows four points along a line on a coordinate plane.
Select the two fractions that represent the slope between these points.