Question

What is the point slope equation of a line with slope -4 that contains the point (-2,7)?

Answer 1

Point slope form: (y-y1)=m(x-x1)

Answer:
(y-7)=-4(x+2)

Answer 2

Answer:
`(y-7)=-4(x+2)`

Explanation:

The equation of a line in point slope form with slope m and passing through point (a,b) is given by :-

`(y-b)=m(x-a)`

Given : The slope of the line : m= -4

The point from which line is passing : (a,b) =(-2,7)

Then , the point slope equation of a line with slope -4 that contains the point (-2,7) will be :-

`(y-7)=-4(x-(-2))\\\\\Rightarrow\(y-7)=-4(x+2)`