Question

What is the equation of the line in this graph?

Answer 1

The slope-intercept form:

`y=mx+b`

m - slope

b - y-intercept

The formula of a slope:

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

We have the y-intercept (0, -3) → b = -3

Chose two points: (6, 1) and (0, -3). Substitute:

`m=(-3-1)/(0-6)=(-4)/(-6)=(4)/(6)=(2)/(3)`

Answer:
`\boxed{y=(2)/(3)x-3}`