Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed. (3,3) and (8,8) are graphed
a. y=3x
b. y=8x
c. y=33x
d. y=x
The equation for a line through the origin is in the form y=mx, where m is the slope of the line.
To find the slope of the line passing through the points (3,3) and (8,8), we can use the formula:
m = (y2-y1)/(x2-x1)
m = (8-3)/(8-3)
m = 5/5
m = 1
So the slope of the line is 1, and the equation for the line passing through the origin is y=x.
Therefore, the answer is:
d. y=x