Graphing Proportional Relationships Practice

Question

Complete this assessment to review what you've learned. It will not count toward your grade.
1 of 51 of 5 Items
Question
Use the image to answer the question.

Find the equation of the line y=mx
𝑦
=
𝑚
𝑥
through the origin that describes the proportional relationship shown in the graph.

(1 point)

Check answerRemaining Attempts : 3
Skip to navigation

Item
1
, Unattempted.
Item
2
, Unattempted.
Item
3
, Unattempted.
Item
4
, Unattempted.
Item
5
, Unattempted.

Answer 1

To write the equation of a line \( y = mx \) for a proportional relationship, you need to determine the slope \( m \) of the line from the graph. The slope can be found by identifying two points on the line and using the formula:

\[ m = \frac{\Delta y}{\Delta x} \]

Where \( \Delta y \) is the change in the y-values and \( \Delta x \) is the change in the x-values between the two points.

For instance, if you have points (2, 4) and (4, 8) on the graph:

• The change in y (\( \Delta y \)) is \( 8 - 4 = 4 \)
• The change in x (\( \Delta x \)) is \( 4 - 2 = 2 \)

So the slope \( m \) is:

\[ m = \frac{4}{2} = 2 \]

The equation of the line would then be:

\[ y = 2x \]

Please provide the specific coordinates or any relevant details from the graph so I can help you determine the exact equation for your particular question!