Determine the vertical asymptote for the rational function f of x equals quantity x minus 4 end quantity divided by quantity 3 times x plus 2 end quantity.
(worth 3 points)

x = −4

x equals negative two thirds

x equals two thirds

x = 4

vertical asymotote at

Step-by-step explanation:

vertical asymptote is the line where the graph goes close to the line but does not cross it.

To find vertical asymptote, we set the denominator =0 and solve for x

denominator is 3x+2

set 3x+2=0

Subtract 2 on both sides

divide both sides by 3

vertical asymotote at

step-by-step explanation:

if x = 2 you have to find x to finish the problem

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?