To find the equation of the line y = mx through the origin, we need to calculate the slope (m) of the line using two points on the line. In this case, let's use the points (0,0) and another point on the line, for example, (4, -3).
The formula for finding the slope given two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the points (0,0) and (4, -3):
m = (-3 - 0) / (4 - 0)
m = -3 / 4
m = -0.75
Therefore, the equation of the line y = mx through the origin is y = -0.75x.
Use the image to answer the question.
The provided content seems to represent data points for a line chart. The data points are as follows: 6, 5, 4, -3, 1, 23, 4, 17, 8, 9. The chart likely displays how these points are connected by lines to show a trend or relationship.
The graph shows the proportional relationship. Derive the equation of the line y = mx through the origin?
5 answers
That's wrong.
I apologize for the mistake in my previous response. Let's correct it.
To find the equation of the line through the origin with slope m, we can use the general form of a line equation, which is y = mx. Since the line passes through the origin, the y-intercept is 0.
Therefore, for the data points provided, we need to find the slope between two points. Let's use the points (0,0) and (1, 23) from the data points given:
m = (23 - 0) / (1 - 0)
m = 23 / 1
m = 23
So, the equation of the line y = mx through the origin using the slope we calculated is y = 23x.
To find the equation of the line through the origin with slope m, we can use the general form of a line equation, which is y = mx. Since the line passes through the origin, the y-intercept is 0.
Therefore, for the data points provided, we need to find the slope between two points. Let's use the points (0,0) and (1, 23) from the data points given:
m = (23 - 0) / (1 - 0)
m = 23 / 1
m = 23
So, the equation of the line y = mx through the origin using the slope we calculated is y = 23x.
Still wrong
I apologize for the confusion earlier. Let's correct the calculation for finding the equation of the line y=mx through the origin using the data points provided.
Given the data points: 6, 5, 4, -3, 1, 23, 4, 17, 8, 9
To find the equation of the line y=mx through the origin, we need to find the slope (m) of the line using the first and last data points, which are (6, 5) and (9, 4).
The formula for finding the slope given two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 5) and (9, 4):
m = (4 - 5) / (9 - 6)
m = -1 / 3
m = -0.33
Therefore, the equation of the line y=mx through the origin with a slope of -0.33 is y = -0.33x.
Given the data points: 6, 5, 4, -3, 1, 23, 4, 17, 8, 9
To find the equation of the line y=mx through the origin, we need to find the slope (m) of the line using the first and last data points, which are (6, 5) and (9, 4).
The formula for finding the slope given two points (x1, y1) and (x2, y2) is:
m = (y2 - y1) / (x2 - x1)
Using the points (6, 5) and (9, 4):
m = (4 - 5) / (9 - 6)
m = -1 / 3
m = -0.33
Therefore, the equation of the line y=mx through the origin with a slope of -0.33 is y = -0.33x.
1 answer