Choose the equation that represents the line that passes through the point (−1, 6) and has a slope of −3.
2 answers:
A) y= -3x +3 and the slope is -3
Answer: a) ![y=-3x+3](https://tex.z-dn.net/?f=y%3D-3x%2B3)
Step-by-step explanation:
The equation of a line passing through a point (a,b) ans has slope m is given by :-
![(y-b)=m(x-a)](https://tex.z-dn.net/?f=%28y-b%29%3Dm%28x-a%29)
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](https://tex.z-dn.net/?f=%28y-6%29%3D-3%28x-%28-1%29%29%5C%5C%5C%5C%5CRightarrow%5C%20y-6%3D-3%28x%2B1%29%5C%5C%5C%5C%5CRightarrow%5C%20y-6%3D-3x-3%5C%5C%5C%5C%5CRightarrow%5C%20y%3D-3x-3%2B6%5C%5C%5C%5C%5CRightarrow%5C%20y%3D-3x%2B3)
Hence, the correct option is : a) ![y=-3x+3](https://tex.z-dn.net/?f=y%3D-3x%2B3)
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