Question

Write an equation in point-slope form for the line through the given point with the given slope. (8, 3); m = 6

Answer 1

`y-3=6(x-8)`

Explanation:

The point - slope equation is:

`y-y_(0)=m(x-x_(0))`

Where
`x_(0)`, and
`y_(0)` is the given point
`(x_(0), y_(0))`

in this case since we have the point
`(8, 3)` we found that

`x_(0)=8`

`y_(0)=3`

and since
`m=6`

The point - slope equation will be like this:

⇒
`y-3=6(x-8)`

That would be the equation for the line through that point ad with a slope of 6:
`y-3=6(x-8)`

You can simplify the equation and clear for y:

`y=6x-6*8+3`

`y=6x-48+3`

`y=6x-45`

this would be the equation in the slope - intercept form.

Answer 2

Point-slope form is y - y_1 = m (x - x_1) where x_1 and y_1 are the given coordinates and m is the slope. When you plug the given values into the equation you get y - 3 = 6 (x - 8) .