2. Find the equation of a line parallel to y=6x-4 and through point (-2,14)

y=6x+26

Step-by-step explanation:

To find the equation of a line parallel to the given equation, the slope must stay the same. Parallel lines NEVER touch or cross. Therefore, the slope MUST be the same. All we have to do is plug the given point into the equation to find the y-intercept.

14=6(-2)+b          [multiply]

14=-12+b             [add both sides by 12]

b=26

Now, we know that the equation of y=6x+26.

what is the question?

b) yes

step-by-step explanation:

let the statements be named as,

statement 1: if the power has been cut, then the refrigerator does not work.

statement 2: the refrigerator does not work.

conclusion: the power has been cut

now, 'law of detachment states that if we have the statements given as,

1. if p, then q.

2. p

then, we get the true statement or conclusion as q'.

thus, on comparing, we get that,

p: if the power has been cut.

q: the refrigerator does not work.

so, the argument is true by the law of detachment.