Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.
Points Of Line = A) 3,8 B) 1,4
To find the equation of the line that describes the proportional relationship shown in the graph with points A) (3, 8) and B) (1, 4), we need to find the slope (m) of the line.
The formula for the slope of a line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Using points A) (3, 8) and B) (1, 4):
m = (4 - 8) / (1 - 3)
m = -4 / -2
m = 2
Now that we have the slope of the line, we can write the equation of the line in slope-intercept form (y = mx + b) where b is the y-intercept. Since the line passes through the origin, there is no y-intercept and b = 0.
Therefore, the equation of the line is:
y = 2x