Question

Write an equation for the line shown on the graph.

Answer 1

`\large\boxed{y=(2)/(3)x+1}`

Explanation:

The slope-intercept form of an equation of a line:

`y=mx+b`

m - slope

b - y-intercept → (0, b)

The fromual of a slope:

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

(x₁, y₁), (x₂, y₂) - points on a line

We have the points from the graph:

(0, 1) → b = 1 and (3, 3).

Calculate the slope:

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

Finally we have the equation of a line:

`y=(2)/(3)x+1`