Question

Write an equation in piont-slope form of the line that passes through the point (3,-3) with slope 14

Answer 1

`y+3=14(x-3)`

Explanation:

Pre-Solving

We are given that a line passes through (3, -3) and has a slope (m) of 14. We want to write the equation in point-slope form.

Point-slope form is given as
`y-y_1=m (x-x_1)`, where
`(x_1,y_1)` is a point and m is a slope.

Solving

Since we are given both the point and the slope, we can substitute these values into the formula.

First, replace m with 14.

`y-y_1=14(x-x_1)`

Now, substitute 3 as
`x_1` and -3 as
`y_1`.

`y--3=14(x-3)`

We can rewrite this as:

`y+3=14(x-3)`