Question

How do you write an equation for these points (4,-2); m=1/4?

Answer 1

`y=1/4x-3`

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=1/4" and " (x_1,y_1)=(4,-2)`

substitute these values into the equation.

`y-(-2)=1/4(x-4)`

`rArry+2=1/4(x-4)larr" point-slope form"`

distribute the bracket and collect like terms.

`y+2=1/4x-1`

`rArry=1/4x-3larr" slope-intercept form"`