Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
To find the equation of the line y=mx through the origin, we need to find the slope (m) of the line.
The slope of a line can be found using the formula:
m = (change in y) / (change in x)
In this case, the line passes through the points (1,4) and (2,8). The change in y is 8 - 4 = 4 and the change in x is 2 - 1 = 1.
So, the slope is m = 4 / 1 = 4.
Therefore, the equation of the line y=mx through the origin is y = 4x.
To find the equation of the line y=mx through the origin, we need to find the slope (m) of the line.
The slope of a line can be found using the formula:
m = (change in y) / (change in x)
In this case, the line passes through the points (3,1) and (9,3). The change in y is 3 - 1 = 2 and the change in x is 9 - 3 = 6.
So, the slope is m = 2 / 6 = 1/3.
Therefore, the equation of the line y=mx through the origin is y = (1/3)x.
To find the equation of the proportional relationship through the origin, we need to find the slope (m) of the line.
The slope of a line can be found using the formula:
m = (change in y) / (change in x)
In this case, the line passes through the points (0,0) and (1,9). The change in y is 9 - 0 = 9 and the change in x is 1 - 0 = 1.
So, the slope is m = 9 / 1 = 9.
Therefore, the equation of the proportional relationship through the origin is y = 9x.
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)
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)
Graphing Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 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 3 comma 1 right parenthesis, left parenthesis 6 comma 2 right parenthesis, and left parenthesis 9 comma 3 right parenthesis.
Write the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
Graphing Proportional Relationships Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
4 of 54 of 5 Items
Question
Use the table to answer the question.
x y (x, y)
0 (0, )
4 (4, )
8 (8, )
Complete the ordered pairs in the table by finding the y-coordinate of the ordered pairs for the equation y=14x.
(2 points)
x y (x, y)
0 (0,
)
4 (4,
)
8 (8,
)
Use the image to answer the question.
A coordinate plane ranges from negative 9 to 9 in unit increments on the x-axis and from 11 to negative 11 in unit increments on the y-axis. A line with arrows at both the ends joins three plotted points and extends beyond. The coordinates of the plotted points are: left parenthesis 0 comma 0 right parenthesis, left parenthesis 1 comma 1 right parenthesis, and left parenthesis 2 comma 2 right parenthesis.
Use the graph of y=x to determine an additional ordered pair (x, y) that satisfies the equation. Find the ordered pair (x, y) if the x-coordinate is 3.
(1 point)
(3,
)
To find the y-coordinate for the ordered pair (3, y) on the line y = x, we can simply substitute x = 3 into the equation.
Therefore, when x = 3, y = 3.
So, the ordered pair is (3, 3).
Graphing Proportional Relationships Quick Check
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 line passes through points plotted at left parenthesis 3 comma 3 right parenthesis and left parenthesis 8 comma 8 right parenthesis.
Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed.
(1 point)
Responses
y=8x
y equals 8 x
y=3x
y equals 3 x
y=x
y equals x
y=33x