The equation of the proportional relationship through the origin can be derived by finding the slope of the line.
The slope of a line is determined by the change in the y-values over the change in the x-values.
In this case, the change in the y-values is 9, 18, 27, and 36, and the corresponding change in the x-values is 1, 2, 3, and 4.
Therefore, the slope of the line is 9/1 = 18/2 = 27/3 = 36/4 = 9.
The equation of the proportional relationship is y = 9x.
Graphing Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
2 of 52 of 5 Items
Question
Use the image to answer the question.
An illustration shows a graph labeled Football Cost. The horizontal axis is labeled Quantity and ranges from 0 to 5 in increments of 1. The vertical axis is labeled Cost and ranges from 0 to 39 in increments of 3. An upward slanting line segment connects points plotted at left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 9 right parenthesis, left parenthesis 2 comma 18 right parenthesis, left parenthesis 3 comma 27 right parenthesis, and left parenthesis 4 comma 36 right parenthesis.
The price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.
(1 point)
4 answers
NO
the answer is 7
the answer to number 5 is -3 btw
1 answer