Use the graph to derive the equation y=mx for a line through the origin. Simplify the numerical coefficient, if needed. (1 point)
Responses
y=x
y=3x
y=3/3x
y=8x
points:(3,3) and (8,8)
To find the equation of a line through the origin, we can use the formula for the slope of a line which is given by:
m = (y2 - y1) / (x2 - x1)
Using the given points (3,3) and (8,8), we can substitute their coordinates into the formula to find the slope:
m = (8 - 3) / (8 - 3) = 5 / 5 = 1
Therefore, the equation of the line through the origin is y = 1x, which can be simplified to just y = x. Thus, the correct response is y = x.