Looking at the graph:
(3 points)
a. Triangles ABC and CDE are called ______
b. The slope of line AE can be written as _______
c. This is a ______ relationship
Answer Choices:
1. non linear
2. change in y/change in x
3. proportional
4. non-proportional
5. change in x/change in y
6. similar
7. congruent
a. Triangles ABC and CDE are called similar.
b. The slope of line AE can be written as change in y/change in x.
c. This is a proportional relationship.
Looking at the graph above, the slope of the line is _______.
(1 point)
Responses:
A: 3
B: 6
C: 6/4
D: 3/2
E: 2/3
To determine the slope of the line on the graph, we can use the formula: slope = (change in y) / (change in x).
By observing the graph, we can see that for every increase of 2 units in the x-coordinate, there is an increase of 3 units in the y-coordinate, and this pattern remains consistent.
Using the formula, the slope of the line is (change in y) / (change in x) = 3/2.
Therefore, the correct response is D: 3/2.
The equation of the graph above is y=2/3x
.
If the graph was shifted 3 units up, then the equation of the graph would be____________.
(1 point)
If the graph was shifted 3 units up, the equation of the new graph would be y = 2/3x + 3.
This is because shifting a graph up by a certain amount involves adding that amount to the y-coordinates of all points on the graph. In this case, since the graph is shifted up by 3 units, we add 3 to the y-coordinate in the equation y = 2/3x.
Therefore, the new equation of the graph would be y = 2/3x + 3.
Look at the graph.
(2 points)
a. What is the slope of the line? ______
b. The equation y=−43x was shifted __________ to get the graph of y=−43x −5
a. The slope of the line is -43.
b. The equation y = -43x was shifted 5 units downward to get the graph of y = -43x - 5.
(3 points)
a. The slope for the bales of hay and mules is _______
b. The slope for cost and square footage of carpet is _______
c. Which situation has the greatest rate of change? _______
a. Without the given options, it is not possible to determine the slope for the bales of hay and mules. More information is needed.
b. Without the given options, it is not possible to determine the slope for the cost and square footage of carpet. More information is needed.
c. Without the given situations, it is not possible to determine which situation has the greatest rate of change. More information is needed.