To find the equation of the proportional relationship through the origin, we can use the slope-intercept form of a linear equation: y = mx.
Since the relationship is proportional through the origin, the y-intercept is 0, and the equation becomes y = mx, where m is the slope.
To find the slope, we can choose any two points on the line and calculate the change in y divided by the change in x.
Let's choose the points (0,0) and (1,9):
Change in y = 9 - 0 = 9
Change in x = 1 - 0 = 1
Slope (m) = change in y / change in x = 9 / 1 = 9
Therefore, the equation of the proportional relationship through the origin is y = 9x.
The price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.
(1 point)
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
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)
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