Question

Choose the equation below that represent the line passing through the point (-2,-3) With a slope of -6

Answer 1

y+3= -6 (x+2) is the correct equation

Answer 2

The equation of line is (y+3)=-6(x+2).

Explanation:

It is given that the line passing through the point (-2,-3) with a slope of -6.

If a line passes through a point
`(x_1,y_1)`, then point slope form of the line is

`(y-y_1)=m(x-x_1)`

where, m is slope of the line.

Substitute
`x_1=-2,y_1=-3` and m=-6 in the above equation.

`(y-(-3))=-6(x-(-2))`

On simplification we get

`(y+3)=-6(x+2)`

Therefore the equation of line is (y+3)=-6(x+2).