Question

Write an equation of the line that passes through the given points in any form.

Answer 1

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

Explanation:

The slope is found by doing the equation
`(rise)/(run)`. When looking at the first two points, it's shown that the rise (difference between the two y values) is 2 (since it increased by 2) and the run (difference between the two x values) is 3 (since it increased by 3).

This gives us a slope of
`(2)/(3)`.

The +1 is found by looking at the y intercept. The y intercept is found by looking at the y value when x = 0. In this picture, it is clear that it is 1.

The equation you want to use is y = mx + b , where b is the y intercept and m is the slope. Just plug in the numbers and you got your equation!