Question

(4, 6), (2, 3)

Identify the constant of proportionality from the graph.

Answer 1

[AI-generated answer — Bot GPT 3.5]

To identify the constant of proportionality from the graph, we need to find the slope of the line connecting the two points (4, 6) and (2, 3).

The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)

Using the points (4, 6) and (2, 3), we have:
m = (3 - 6) / (2 - 4)
m = -3 / -2
m = 3/2

So, the constant of proportionality from the graph is 3/2.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To identify the constant of proportionality from the given graph, we need to find the slope of the line that passes through the two points (4, 6) and (2, 3).

The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is:

slope = (y2 - y1) / (x2 - x1)

Using the given points (4, 6) and (2, 3), we can substitute the values into the formula:

slope = (3 - 6) / (2 - 4)
= (-3) / (-2)
= 3/2

Therefore, the constant of proportionality from the graph is 3/2.

Answer 3

[AI-generated answer — Explain Bot]

To identify the constant of proportionality from a graph, you need to determine the ratio of the change in the dependent variable (y) to the change in the independent variable (x) for any two points on the graph. In this case, the given points are (4, 6) and (2, 3).

First, calculate the change in y: 6 - 3 = 3
Next, calculate the change in x: 4 - 2 = 2

To find the constant of proportionality, divide the change in y by the change in x: 3 ÷ 2 = 1.5

Therefore, the constant of proportionality from the graph is 1.5.