Question

Write an equation in point slope form for the line that has a slope of 9/4 and contains the point (3, -4)

Answer 1

`y+4=(9)/(4) (x-3)`

Explanation:

Given:

Slope which is
`m`, that is
`(9)/(4)`

Line containing
`point`, that is
`(3,-4)`

We need to write an equation in point slope form for the line.

Solution:

As we know that
`(x_1,y_1)= (3, -4)`

As we know the equation of line in point slope form is
`y-y_1=m(x-x_1)`

Let us know plug the value:

`y-y_1=m(x-x_1)`

`y-(-4)=(9)/(4) (x-3)`

⇒
`y+4=(9)/(4) (x-3)`

Hence, the equation in point slope form for the line that has a slope of
`(9)/(4)` is
`y+4=(9)/(4) (x-3)`.