Question

Write an equation that represents the line.
Use exact numbers.

Answer 1

y = 1.5x + 3

Explanation:

Take the two points marked by the blue dots.

(0,3), (2,6)

Start with (0,3). The zero makes the other number with it = to the y intercept.

So far what you know is

General equation: y = mx + b

b = 3

Partial equation: y = mx + 3

Givens

To get m, you need both points.

y2 = 6

y1 = 3

x2 = 2

x1 = 0

Equation

m = (y2 - y1) / (x2 - x1)

m = (6 - 3) / (2 - 0)

m = 3 / 2

Entire equation

y = 3/2 x + 3

or

y = 1,5x + 3