To find the equation of the line through the origin that represents the proportional relationship between inches and feet, we first need to determine the slope of the line.
The slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
slope = (y2 - y1) / (x2 - x1)
Using the points (1,12) and (2,24) from the graph, we can calculate the slope:
slope = (24 - 12) / (2 - 1) = 12
Since the line passes through the origin (0,0), the equation of the line can be written in the form y = mx, where m is the slope. Substituting the slope we calculated above:
y = 12x
Therefore, the equation of the line representing the proportional relationship between inches and feet is:
y = 12x
The proportional relationship between inches and feet is displayed on the graph. Derive the equation of the line through the origin.
graph
1,12
2,24
3,36
1 answer
1 answer