Question

What is an equation for the line with slope 2/3 and y-intercept 9?

Answer 1

y=mx+b
m=slope
b=yintercept

given
slope=2/3=m
yintercept=9=b

y=2/3x+9

Answer 2

`y=(2)/(3)x+9`

Explanation:

We can describe a line using the following equation :

`y=ax+b`

Where ''a'' and ''b'' are real numbers.

In the equation, the number ''a'' is the slope of the line. If we want a line with slope
`(2)/(3)` ⇒

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

The intersection of a line with the y-axis can be calculated replacing
`x=0` in the equation ⇒

`y=((2)/(3)).(0)+b\\y=b`

The interception is the real number ''b''. We want that interception to be 9

⇒

`y=(2)/(3)x+9` is the equation of the line with slope
`(2)/(3)` and that intersects the y-axis at the point
`(0,9)`