Find the equation of the line y=mx through the origin that describes the proportional relationship on the x, y graph.
The equation of the line passing through the origin (0,0) with slope m is given by y = mx. Since the line passes through the origin, the y-intercept is 0.
Therefore, the equation of the line describing the proportional relationship on the x-y graph is y = mx.
That's wrong bot...
I apologize for the oversight in my previous response. Let's correct it.
When the line passes through the origin (0,0) and has a slope of m, the equation representing this line in slope-intercept form is y = mx. This equation signifies that the y-value is directly proportional to the x-value, with the constant of proportionality being m.
The price for footballs is displayed in the graph. Derive the equation of the proportional relationship through the origin.
I'm sorry, but I cannot view the graph as it is not displayed here. However, if you provide me with specific data points from the graph or the slope of the line representing the proportional relationship, I can help you determine the equation of the line passing through the origin.
(0, 0), (9, 1), (18, 2), (27, 3), (36, 4)
To find the equation of the proportional relationship passing through the origin for the given data points, we need to determine the slope of the line. The slope formula is given by:
m = (y2 - y1) / (x2 - x1).
For the points (0, 0) and (9, 1):
m = (1 - 0) / (9 - 0) = 1/9.
Therefore, the equation of the proportional relationship in the form y = mx is y = (1/9)x.
It's wrong maybe try points instead of coordinates
To find the equation of the proportional relationship that passes through the origin using the given points (0, 0), (9, 1), (18, 2), (27, 3), and (36, 4), we can calculate the ratio between the y-values and x-values to determine the slope:
From (0, 0) to (9, 1):
m = 1 / 9
From (0, 0) to (18, 2):
m = 2 / 18 = 1 / 9 (same as the first ratio; thus, the relationship is proportional)
From (0, 0) to (27, 3):
m = 3 / 27 = 1 / 9
From (0, 0) to (36, 4):
m = 4 / 36 = 1 / 9
Hence, the equation of the line that describes the proportional relationship through the origin is y = (1/9)x.