Question

How do you find the equation given (-4,-5) with slope -3/2?

Answer 1

`y=-3/2x-11`

Explanation:

Since given a point and slope find the equation of the line using the `color(blue)"point-slope form"`

`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"`

here `m=-3/2" and " (x_1,y_1)=(-4,-5)`

Substitute these values into the equation.

`rArry-(-5)=-3/2(x-(-4))`

distribute the bracket and simplify.

`rArry+5=-3/2x-6rArry=-3/2x-11" is the equation"`