Which of the following gives and equation of a line that passes through the point (6/5,-19/5) and is parallel to the line that passes through the origin and point (-2,-12)?

A. y=6x-11

Step-by-step explanation:

1) Calculate slope

(0,0) (-2,-12)

(-12-0)/(-2-0) = 6

The parallel equation will have same slope(of 6)

2) plug in point (6/5, -19/5)

y=6x+b

-19/5=6(6/5)+b

b=-19/5-36/5=-55/5 = -11

3) equation

A. y=6x-11

the simplified form is

step-by-step explanation:

we want to simplify the expression,

let us change the middle bar to a normal division sign to obtain,

we multiply the first fraction by the reciprocal of the second fraction to obtain,

we factor to obtain,

we cancel the common factors to get,

we simplify to get,

the correct answer is b

-12 > a

step-by-step explanation:

-11 > 1 + a

subtract 1 from each side

-11 -1> 1 -1+ a

-12 > a