Question

What is the equation of the line that goes through `(5,1)` and has a slope of `m=4`?

Answer 1

`y=4x-19`

Explanation:

The equation of a line in `color(blue)"point-slope form"` is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(y-y_1=m(x-x_1))color(white)(2/2)|)))`
where m represents the slope and `(x_1,y_1)" a point on the line"`

Here `m=4" and " (x_1,y_1)=(5,1)`

`rArry-1=4(x-5)`

`rArry-1=4x-20`

`rArry=4x-19" is the equation"`

Answer 2

`y=4x-19`

Explanation:

use the equation

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

`m=4" "(x_1,y_1)=(5,1)`

`(y-1)=4(x-5)`

`y-1=4x-20`

`:.y=4x-19`