Since the graph shows a proportional relationship, we know that the equation of the line passing through the origin will be in the form of y = mx, where m represents the slope of the line.
To find the slope, we can take any two points on the graph and use the formula for slope, which is given by:
m = (y2 - y1) / (x2 - x1)
Let's choose two points on the graph: (x1, y1) = (0,0) and (x2, y2) = (1, m).
Plugging in these values into the slope formula, we get:
m = (m - 0) / (1 - 0)
m = m/1
m = m
So, the slope of the line passing through the origin is m.
Therefore, the equation of the line is y = mx.
The graph shows the proportional relationship. Derive the equation of the line y=mx through the origin.
1 answer
1 answer