Question

What is the equation of the line that passes through the point 4,8 and has a slope of 3/2​

Answer 1

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

Explanation:

The image below shows proof that the equation
`y=(3)/(2)x+2` is the line that passes through point (4, 8) and has a slope of
`(3)/(2)`.

Hope this helps! :)

Answer 2

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

Explanation:

It gives us the slope in the question (3/2), so we can write an equation that looks like this:

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

To find the y-intercept we can plug the point (4,8) in the equation. Remember that 4 is x and 8 is y.

`8 = (3)/(2) (4)+ b`

Now solve for b

`8 = (12)/(2) + b\\8 = 6 + b\\2 = b`

Next, write the full equation using the slope and y-intercept:

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

I hope this helps!!

- Kay :)