Question

How do you write an equation of a line with point (3,1), slope 2?

Answer 1

`y=2x-5`

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=2" and " (x_1,y_1)=(3,1)`

`rArry-1=2(x-3)larrcolor(red)" in point-slope form"`

distributing and simplifying gives an alternative version.

`y-1=2x-6`

`rArry=2x-6+1`

`rArry=2x-5larrcolor(red)" in slope-intercept form"`