Question

FIRST TO ANSWER CORRECTLY GETS BRAINLIEST

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

y = −3x + 3
y = −3x − 6
y = 3x − 3
y = 3x − 1

Answer 1

Answer:

$y = - 3x + 3$

Step-by-step explanation:

Use the equation

$y = mx + b$

Insert m = -3 (slope)

$y = - 3x + b$

Use (-1, 6) to plug in the values of x and y respectively.

$6 = ( - 3)( - 1) + b$

$6 = 3 + b$

$b = 3$

Hence, the equation is

$y = -3x + 3$

Answer 2

Answer:  $y=-3x+3$

Step-by-step explanation:

We know that the equation of a line passing through a point (p,q) ans has slope 'a' is given by :-

$(y-q)=a(x-p)$

Given : Point : (p,q) =(-1,6)

Slope : a= -3

Then, the equation of a line passing through a point (-1,6) ans has slope  -3 will be :-

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

Therefore, the first option will be the right option  : $y=-3x+3$