Question

Write the equation of the line that passes through the points (-7,9) and (-7,1). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.​

Answer 1

Answer:

It is a vertical line

Step-by-step explanation:

Find the slope using rise over run (y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(1 - 9) / (-7 + 7)

-8/0

= undefined

Dividing by 0 gives you an undefined number. This means that the slope is undefined, and the line is a vertical line.

Answer 2

The equation of the line that passes through the points (-7,9) and (-7,1) is x = -7.

The point slope formula is represented below:

• y - y₁ = m(x - x₁)

where

m = slope

Let's find slope

(-7, 9)(-7, 1)

m = 1 -9 / -7 - (-7)

m = -8 / 0 = Undefined slope.  

The slope is an undefined slope. Therefore, the line is a vertical line and cannot be written in a slope intercept or point slope form.

The equation of the line can be written as x = c.

where

c = constant

Therefore,

x = -7

The equation is  x = -7

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