The equation y=6x+6
describes the relationship between quantities x and y. Are the quantities in a proportional relationship?(1 point)
Responses
Yes, because the graph of the equation is a straight line.
Yes, because the graph of the equation is a straight line.
Yes, because the graph of the equation passes through the origin.
Yes, because the graph of the equation passes through the origin.
No, because the graph of the equation is not a straight line.
No, because the graph of the equation is not a straight line.
No, because the graph of the equation does not pass through the origin.
No, because the graph of the equation does not pass through the origin.
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11 answers
Yes, because the graph of the equation is a straight line. Yes, because the graph of the equation passes through the origin.
Which two ratios form a proportion?(1 point)
Responses
12
and 84
1 half and 8 fourths
21
and 168
2 over 1 and 16 eighths
12
and 42
1 half and 4 halves
21
and 48
Responses
12
and 84
1 half and 8 fourths
21
and 168
2 over 1 and 16 eighths
12
and 42
1 half and 4 halves
21
and 48
1 half and 8 fourths
Which linear equation represents a non-proportional relationship?(1 point)
Responses
y=x+3
y is equal to x plus 3
y=45x
y is equal to 4 fifths x
y=−3x
y is equal to negative 3 x
y=1.5x
Responses
y=x+3
y is equal to x plus 3
y=45x
y is equal to 4 fifths x
y=−3x
y is equal to negative 3 x
y=1.5x
y=x+3
In a second grade classroom, a student earns 25 stars for 5 compliments for good behavior. The teacher tracks the number of stars (y, vertical axis) and compliments (x, horizontal axis) on a graph. Which statements are correct? Choose more than 1 answer.(1 point)
Responses
Point (20, 100) represents earning 20 compliments.
Point (20, 100) represents earning 20 compliments.
Point (100, 20) represents earning 20 compliments.
Point (100, 20) represents earning 20 compliments.
Point (5, 1) represents the unit rate.
Point (5, 1) represents the unit rate.
Point (1, 5) represents the unit rate.
Point (1, 5) represents the unit rate.
Point (0, 50) represents the unit rate.
Point (0, 50) represents the unit rate.
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Responses
Point (20, 100) represents earning 20 compliments.
Point (20, 100) represents earning 20 compliments.
Point (100, 20) represents earning 20 compliments.
Point (100, 20) represents earning 20 compliments.
Point (5, 1) represents the unit rate.
Point (5, 1) represents the unit rate.
Point (1, 5) represents the unit rate.
Point (1, 5) represents the unit rate.
Point (0, 50) represents the unit rate.
Point (0, 50) represents the unit rate.
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Point (20, 100) represents earning 20 compliments.
Point (5, 1) represents the unit rate.
Point (5, 1) represents the unit rate.
Find the slope of the given line using similar triangles. (1 point) Responses 14 1 fourth -4 -4 4 4 −14 negative 1 fourth Skip to navigation
The given information of the line is missing in the prompt. Please provide the equation or the coordinates of the line to calculate the slope using similar triangles.
(0, 0) (4, 1) (8, 2) 1 point)
Responses
1/4
1 fourth
-4
-4
4
4
−1/4
Responses
1/4
1 fourth
-4
-4
4
4
−1/4
To find the slope using the given points (0, 0), (4, 1), and (8, 2), we can use the formula:
slope = (change in y) / (change in x)
Between (0, 0) and (4, 1), the change in y is 1 - 0 = 1, and the change in x is 4 - 0 = 4. So, the slope between these two points is 1/4.
Between (4, 1) and (8, 2), the change in y is 2 - 1 = 1, and the change in x is 8 - 4 = 4. So, the slope between these two points is also 1/4.
Since the slope remains the same between any two points on the line, we can conclude that the slope of the given line is 1/4.
slope = (change in y) / (change in x)
Between (0, 0) and (4, 1), the change in y is 1 - 0 = 1, and the change in x is 4 - 0 = 4. So, the slope between these two points is 1/4.
Between (4, 1) and (8, 2), the change in y is 2 - 1 = 1, and the change in x is 8 - 4 = 4. So, the slope between these two points is also 1/4.
Since the slope remains the same between any two points on the line, we can conclude that the slope of the given line is 1/4.
1 answer