graphing proportional relationships unit 3 lesson 4
use the image to answer the question
find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph
Unfortunately, there is no image provided to answer the question. Please provide the image or provide a detailed description of the graph in order to determine the equation of the line.
To find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph, you need to find the slope of the line.
The slope (m) can be found by taking the vertical change (change in y-values) divided by the horizontal change (change in x-values) between any two points on the line.
Looking at the graph, we can pick two points (0, 0) and (4, 12) that lie on the line.
The vertical change (change in y-values) between these two points is 12 - 0 = 12.
The horizontal change (change in x-values) between these two points is 4 - 0 = 4.
Now, we can calculate the slope (m) using the formula:
m = vertical change / horizontal change = 12 / 4 = 3.
So, the slope (m) of the line is 3.
Therefore, the equation of the line y = mx is y = 3x.
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 (m).
1. Look at the graph and locate two points on the line.
2. Consider the coordinates of the two points you have chosen.
3. Calculate the slope (m) using the formula: (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
4. Substitute the value of m into the equation y = mx to get the equation of the line.
Without the actual graph, I'm unable to find the specific points to determine the slope and calculate the equation. However, if you provide me with the coordinates of any two points on the line, I would be able to assist you further in finding the equation.