Question

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=x

b. y=3x

c. y=3/3x

d. y=8x

Answer 1

[AI-generated answer — Bot GPT 3.5]

b. y=3x

To find the slope (m) of the line passing through the points (3,3) and (8,8), we first calculate the change in y and the change in x:
Change in y = 8 - 3 = 5
Change in x = 8 - 3 = 5

Now we can find the slope by taking the ratio of the change in y to the change in x:
m = change in y / change in x = 5 / 5 = 1

Therefore, the equation of the line passing through the origin and the points (3,3) and (8,8) is y = 1x, which simplifies to y = x.