Question

How do you find the equation given (4, 6) and slope 3/2?

Answer 1

The equation of the line in slope-intercept form is
`y=3/2x`

Explanation:

We can use the point-slope formula `y-y_1=m(x-x_1)`

Given the point (4,6) and the slope of `3/2`

`m=3/2`
`x_1=4`
`y_1=6`

Plug in the values and simplify

`y-6=3/2(x-4)`

Distribute the slope

`y-6=3/2x-6`

Use additive inverse to isolate the `y`

`y cancel(-6) cancel(+6) = 3/2x cancel(-6) cancel(+6)`

The equation of the line in slope-intercept form is
`y=3/2x`