y=8-, x=2
y=4-,1
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 y = mx through the origin, we need to determine the value of m.
The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (2, 8) and (1, 4), we can calculate the slope:
m = (4 - 8) / (1 - 2) = -4
Therefore, the equation of the line through the origin is:
y = -4x
To find the equation of the line through the origin that describes the proportional relationship shown in the graph, we need to determine the slope of the line.
Since the line passes through the origin, the y-intercept is 0.
The slope, denoted by "m," can be calculated using the formula:
m = (change in y) / (change in x)
Substituting the given values, we get:
m = (4 - 0) / (1 - 0)
m = 4 / 1
m = 4
Therefore, the equation of the line through the origin that describes the proportional relationship shown in the graph is:
y = 4x
To find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph, we need to determine the value of m.
We are given two points on the graph: (x=2, y=8) and (x=1, y=4). Since these points lie on the line y = mx, we can substitute the coordinates into the equation to form two equations:
For point (2, 8):
8 = m(2)
For point (1, 4):
4 = m(1)
Now, we can solve these equations to find the value of m:
8 = 2m
Dividing both sides by 2, we get:
4 = m
So, the value of m is 4.
Therefore, the equation of the line y = mx through the origin for this proportional relationship is y = 4x.