Which of the following represent the equation of a line with the slope of 1/4 that passes through the point (-8,2)

The equation of a line with the slope of 1/4 that passes through the point (-8,2) is

Solution:

Given, slope of a line is and a point is (-8, 2)

We have to find the line equation with above given values.

Now, we know that, point slope form of a line is

Where, m is slope of line and

Here in our problem,

So, substitute above values in general form.

4(y – 2) = (x + 8)

4y – 8 = x + 8

x – 4y + 8 + 8 = 0

x – 4y + 16 = 0.

4y = x +16

Hence the equation of a line with the slope of 1/4 that passes through the point (-8,2) is

2222222222222222222

step-by-step explanation:

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.