Write an equation in point-slop form for the line that passes through each point with the give slope. (1,-6), m=-1

Question 1: Option C: y -6 = 8(x+4) is the correct answer.

Question 2: Option B: y-1=0 is the correct answer.

Step-by-step explanation:

Question 1(In Picture):

Given point is: (-4,6) and

Slope: m = 8

The point-slope form of equation of a line is given by:

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

Hence,

Option C: y -6 = 8(x+4) is the correct answer.

Question 2:

Given point is: (3,1) and

Slope: m = 0

The point-slope form of equation of a line is given by:

Here (x1,y1) are the coordinates of the point from which the line passes. Putting (-4,6) in the equation and slope

Hence,

Option B: y-1=0 is the correct answer.

step-by-step explanation:

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c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.