Question

Use technology to decide which graph is the flattest.(1 point)
Responses

y=5x
y equals 5 x

y=0.15x
y equals 0.15 x

y=−8x
y equals negative 8 x

y=0.9x

Answer 1

Use the image to answer the question.

A coordinate plane is shown with a diagonal line passing through the following points: left parenthesis negative 1 comma negative 4 right parenthesis, left parenthesis 0 comma 0 right parenthesis, and left parenthesis 1 comma 4 right parenthesis. The x-axis and y-axis range from negative 4 to 4 in increments of 1.

Use technology to determine which equation goes with the graph.

(1 point)
Responses

y=20x
y equals 20 x

y=−5x
y equals negative 5 x

y=0.2x
y equals 0.2 x

y=4x

Answer 2

To determine which graph is the flattest, we can look at the slope of each equation. The slope represents the steepness of the graph.

The slope of the first equation, y = 5x, is 5.
The slope of the second equation, y = 0.15x, is 0.15.
The slope of the third equation, y = -8x, is -8.
The slope of the fourth equation, y = 0.9x, is 0.9.

Comparing the slopes, we can see that the second equation, y = 0.15x, has the smallest slope, indicating it is the flattest graph.

Answer 3

To determine which equation goes with the given graph, we can observe the slope of the diagonal line.

Using technology, we can find the slope of the line passing through the points (-1, -4), (0, 0), and (1, 4). The slope of this line is 4.

Comparing the slopes of the given equations, we can see that the fourth equation, y = 4x, has a slope of 4, which matches the slope of the given line. Therefore, y = 4x is the equation that goes with the graph.