Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
graph portions; (1,4) and (2,8)
To find the equation of the line that describes the proportional relationship shown in the graph, we need to determine the value of the constant of proportionality.
The equation of the line passing through two points (x₁, y₁) and (x₂, y₂) can be expressed as:
(y - y₁) = m(x - x₁)
Given the points (1, 4) and (2, 8), we can substitute these values into the equation:
(8 - 4) = m(2 - 1)
4 = m(1)
m = 4
Therefore, the value of the constant of proportionality 'm' is 4.
The equation of the line y = mx through the origin is obtained by substituting the slope (m) into the equation:
y = 4x
Hence, the equation of the line that describes the proportional relationship shown in the graph is y = 4x.
To find the equation of the line that describes the proportional relationship shown in the graph, you can use the given points (1,4) and (2,8).
Step 1: Find the slope (m) of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Using the points (1,4) and (2,8), the slope is:
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
Step 2: Since the line passes through the origin (0,0), the equation will be in the form y = mx.
Therefore, the equation of the line is:
y = 4x
To find the equation of the line that describes the proportional relationship in the graph, you can use the slope-intercept form of the linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
Given that the line passes through the origin (0,0) and two other points (1,4) and (2,8), we can find the slope (m) by using the formula:
m = (change in y) / (change in x)
Let's find the slope by using the coordinates of the two given points:
change in y = 8 - 4 = 4
change in x = 2 - 1 = 1
m = 4 / 1 = 4
Now that we know the slope (m = 4), we can substitute this value along with the coordinates of the origin (0,0) into the slope-intercept form (y = mx + b) to find the y-intercept (b):
0 = 4(0) + b
0 = 0 + b
b = 0
Therefore, the equation of the line that describes the proportional relationship shown in the graph is:
y = 4x
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)
Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
(1 point)