To find the equation of the line that goes through the origin and passes through the two points (1,4) and (2,8), 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)
Using the points (1,4) and (2,8):
m = (8 - 4) / (2 - 1)
m = 4 / 1
m = 4
So, the slope of the line is 4.
Now we have the slope of the line and we know it passes through the origin (0,0), we can write the equation of the line in slope-intercept form:
y = mx
Substitute the slope m = 4:
y = 4x
Therefore, the equation of the line that describes the proportional relationship shown in the graph is:
y = 4x
(2 ,8) (1 ,4)
Find the equation of the line y = mx through the origin that describes the proportional relationship shown in the graph.
1 answer
1 answer