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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

Respuesta :

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

Answer: a)  [tex]y=-3x+3[/tex]

Step-by-step explanation:

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

[tex](y-b)=m(x-a)[/tex]

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

[tex](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[/tex]

Hence, the correct option is : a) [tex]y=-3x+3[/tex]

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