Question

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

a) y = −3x + 3
b) y = −3x − 6
c) y = 3x − 3
d) y = 3x − 1

Answer 1

A) y= -3x +3 and the slope is -3

Answer 2

Answer: a)
`y=-3x+3`

Explanation:

The equation of a line passing through a point (a,b) ans has slope m is given by :-

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

Similarly, the equation of a line passing through a point (-1,6) ans has slope -3 is given by :-

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

Hence, the correct option is : a)
`y=-3x+3`