Question

Find an equation in point-slope form for the line having the slope of m=4 and containing the point (5,4).

The equation in point-slope form is ___.

Answer 1

The equation is: Y - 4 = 4 (x-5)

Answer 2

y - 4 = 4(x - 5)

Explanation:

Pre-Solving

We are given that a line has a slope (m) of 4 and passes through the point (5,4).

We want to write this equation in point-slope form.

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

Solving

Since we are given the slope and the point, we can immediately plug them into the formula.

Let's start with the slope; we can replace m in
`y-y_1=m(x-x_1)` with 4.

`y-y_1=4(x-x_1)`

We can now plug 5 for
`x_1` and 4 for
`y_1`.

y - 4 = 4(x - 5)