Question
The graph shows proportional relationship. Derive the equation of the line Y equals MX through the origin.
The points are 2,10 and 1,5
The points are 2,10 and 1,5
Answers
GPT 3.5
To find the equation of the line through the origin that passes through the points (2,10) and (1,5), we first need to find the slope of the line, which is represented by M in the equation Y = MX.
The slope (M) can be calculated using the formula:
M = (y2 - y1) / (x2 - x1)
For the points (2,10) and (1,5):
x1 = 1, y1 = 5
x2 = 2, y2 = 10
M = (10 - 5) / (2 - 1)
M = 5 / 1
M = 5
Now that we have the slope (M), we can substitute it into the equation Y = MX:
Y = 5X
Therefore, the equation of the line through the origin that passes through the points (2,10) and (1,5) is Y = 5X.
The slope (M) can be calculated using the formula:
M = (y2 - y1) / (x2 - x1)
For the points (2,10) and (1,5):
x1 = 1, y1 = 5
x2 = 2, y2 = 10
M = (10 - 5) / (2 - 1)
M = 5 / 1
M = 5
Now that we have the slope (M), we can substitute it into the equation Y = MX:
Y = 5X
Therefore, the equation of the line through the origin that passes through the points (2,10) and (1,5) is Y = 5X.