Question

What is the point slope form of the line with slope −37 that passes through the point (5, 8) ?

y+8=−37(x+5)

y−5=−37(x−8)

y+5=−37(x+8)

y−8=−37(x−5)

Answer 1

Answer:
`(y-8)=-37(x-5)`

Explanation:

The point slope form of a line with slope m that passes through point (a,b) is given by :-

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

Given : slope : m=-37 and point (5,8 )

Similarly, the point slope form of the line with slope −37 that passes through the point (5, 8) will be :_

`(y-8)=-37(x-5)`

hence, the correct answer is
`(y-8)=-37(x-5)`

Answer 2

The equation for point slope form is written as :

y - y1 =m(x-x1)

M is the slope which is given as -37

The given point would be X1 and y1, where X1 is 5 and y1 is 8.

The equation becomes:

y - 8 = -37(x -5)