To find the equation of the line through the origin that describes the proportional relationship shown in the graph, we first need to find the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by the formula:
m = (y2 - y1) / (x2 - x1)
Given the points (1, 4) and (2, 8), we can substitute these values into the formula to find the slope:
m = (8 - 4) / (2 - 1)
m = 4
Therefore, the slope of the line is 4. Since the line passes through the origin, the equation of the line is:
y = 4x
So, the equation of the line y = mx through the origin 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.
(points being 1,4 and 2,8)
1 answer