Question
Find the equation of y=mx through the origin that describes the proportional relationship shown in the graph
Answers
GPT 3.5
Since the proportional relationship is shown in the graph passing through the origin, we need to find the slope, which is represented by "m" in the equation y=mx.
To find the slope, we can select two points on the graph. Let's select (1,2) and (3,6) as those two points.
The slope (m) is found using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values:
m = (6 - 2) / (3 - 1)
m = 4 / 2
m = 2
Now we have the slope (m = 2), so the equation of the line is:
y = 2x
To find the slope, we can select two points on the graph. Let's select (1,2) and (3,6) as those two points.
The slope (m) is found using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values:
m = (6 - 2) / (3 - 1)
m = 4 / 2
m = 2
Now we have the slope (m = 2), so the equation of the line is:
y = 2x