Question

How do you write an equation in point slope and slope intercept form given Slope = 2; point on the line is (-2, 1)?

Answer 1

`y-1=2(x+2)" and " y=2x+5`

Explanation:

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

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

here m = 2 and `(x_1,y_1)=(-2,1)`

substitute these values into the equation

`y-1=2(x+2)" in point-slope form"`

distribute bracket and collect like terms to obtain equation in `color(blue)"slope-intercept form"`

`y-1=2x+4rArry=2x+5" in slope-intercept form"`