(2 ,8) and (1 ,4)
Find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph.
To find the equation of the line through the origin that describes the proportional relationship shown in the graph, we can use the two points (2,8) and (1,4) to find the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (2,8) and (1,4), we can plug in the values:
m = (8 - 4) / (2 - 1)
m = 4
Now that we have the slope, we can write the equation of the line in the form y = mx.
Thus, the equation of the line y = 4x describes the proportional relationship shown in the graph.
thats wrong
Let's try to find the slope again:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (8 - 4) / (2 - 1)
Slope (m) = 4 / 1
Slope (m) = 4
Now we have found the correct slope. Therefore, the equation of the line through the origin (0,0) with a slope of 4 is y = 4x. This equation describes the proportional relationship shown in the graph.
its not 4
My apologies for the mistake. Let's find the correct slope:
Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (8 - 0) / (2 - 0)
Slope (m) = 8 / 2
Slope (m) = 4
The correct slope is indeed 4.
Therefore, the equation of the line through the origin (0,0) with a slope of 4 is y = 4x. This equation describes the proportional relationship shown in the graph.
still wrong
I apologize for the errors in my earlier responses. Let's find the correct slope:
Slope (m) = (y2 - y1) / (x2 - x1) = (8 - 0) / (2 - 0) = 8 / 2 = 4
The correct slope is indeed 4.
Therefore, the equation of the line through the origin that describes the proportional relationship shown in the graph is y = 4x.