Question

What is an equation of the line that passes through the point (4,-6) and has a slope of -3

Answer 1

Answer:
`y = -3x + 6`

Explanation:

In order to find the equation of a line when one point and a slope is given , we will use the formula:

`y-y_(1)=m(x-x_(1))`

where m is the slope.

m =
`-3`

`x_(1)=4`

`y_(1)=-6`

substituting into the formula , we have :

`y - (-6) = -3(x-4)`

`y+6 = -3x +12`

subtract 6 from both sides

`y = -3x + 12 - 6`

`y = -3x + 6`