Question

Write an equation in point-slope form for the line with the given slope

that contains the given point.
slope 3; (4, 2)

Answer 1

Point-slope form is y-y1=m(x-x1) so, plugging in our point and slope, we get y-2=3(x-4

Answer 2

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

Explanation:

Pre-Solving

We are given that a line has a slope (m) of 3 and passes through (4, 2). 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

We can substitute what we know into the equation.

First, substitute 3 as m.

`y-y_1=3(x-x_1)`

Now, substitute 4 as
`x_1` and 2 as
`y_1`.

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