Question

What is the point slope form of the line with slope −1/4 that passes through the point (−2, 9) ?

y+9=−14(x−2)

y−2=−14(x+9)

y+2=−14(x−9)

y−9=−14(x+2)

Answer 1

y - 9 = -1/4 ( x + 2)

answer
y−9=−14(x+2)
last one

Answer 2

Explanation:

Point slope form of the equation with point (a,b) and slope m is given by this equation

y-b=m(x-a)

Here we are given that the slope is -1/4 so m= -1/4

and the point is (-2,9) so a =-2 and b =9

Hence plugging the values in the equation we get

y-9 = -1/4 (x-(-2))

y -9 =-1/4 (x+2)