Question

Which equation could have been used to create this graph?

A. y = 3x

B. y = x + 6

C. y = x + 5

D. y = 6x

Answer 1

y=6x

Explanation:

Answer 2

The slope-intercept form:

`y = mx + b`

m - slope

b - y-intercept

We have the point (0, 0) - it's the y-intercept → b = 0.

Therefore we have the equation of a line:

`y=mx`

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the points (0, 0) and (1, 6). Substitute:

`m=(6-0)/(1-0)=(6)/(1)=6`

Answer: y = 6x