Question

How do you find the equation of the line given m=3, (3,2)?

Answer 1

`y=3x-7`

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

substitute these values into the equation.

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

distributing and simplifying gives an alternative version of the equation.

`y-2=3x-9`

`y=3x-9+2`

`rArry=3x-7larrcolor(red)" slope-intercept form"`