To find the equation of the line through the origin, we need to calculate the slope (m) using the two points given.
First, find the change in y: 8 - 4 = 4
Then, find the change in x: 2 - 1 = 1
Now, calculate the slope:
m = (change in y) / (change in x)
m = 4 / 1
m = 4
Therefore, the equation of the line y = mx through the origin with a slope of 4 is:
y = 4x
Graphing Proportional Relationships Practice
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.
An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 1 comma 4 right parenthesis and left parenthesis 2 comma 8 right parenthesis.
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
3 answers
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)
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)
To find the equation of the proportional relationship through the origin, we need to find the slope of the line connecting the points (0,0) and (1,9).
First, calculate the change in y: 9 - 0 = 9
Then, calculate the change in x: 1 - 0 = 1
Now, calculate the slope:
m = (change in y) / (change in x)
m = 9 / 1
m = 9
Therefore, the equation of the line y = mx through the origin with a slope of 9 is:
y = 9x
First, calculate the change in y: 9 - 0 = 9
Then, calculate the change in x: 1 - 0 = 1
Now, calculate the slope:
m = (change in y) / (change in x)
m = 9 / 1
m = 9
Therefore, the equation of the line y = mx through the origin with a slope of 9 is:
y = 9x
1 answer