Question

Choose the point-slope form of the equation below that represents the line that passes through the point (-1,6) and has a slope of -3

A) y-6=-3x-3
B) y-6=-3 (x+1)
C)y=-3x+3
D)3x+y=3

Answer 1

point slope formula is
(y-y1)=m(x-x1) where m is slope and (x1,y1) is point. using this and substituting we find
y-6=-3(x-(-1))
simplifying we fing
y-6=-3(x+1) or B

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Answer 2

Answer: B)
`(y-6)=-3(x+1)`

Explanation:

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

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

Now, the equation ( in point slope form) of the line that passes through the point (-1,6) and has a slope of -3 will be:-

`(y-6)=-3(x-(-1))\\\\\Rightarrow\ (y-6)=-3(x+1)`