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wolverine [178]
2 years ago
9

(-1,-2) and (3, -162) a. Is there a line th(at goes through these two points? How do you know? If there is one, what is the equa

tion of the line going through these two points? if there isn't one, explain why not.
Mathematics
1 answer:
lana [24]2 years ago
4 0

Answer:

The equation of line for given points is y = - 40 x - 42  

Step-by-step explanation:

Given two points as :

( -1 , - 2 )  and ( 3 , - 162 )

Now, Equation of line in points form

y - y_1 = m × ( x -  x_1 )

Where m is the slope of line

And, m = \frac{y_2 - y_1}{x_2 - x_1}

or, m = \frac{ - 162 + 2}{ 3 + 1}

or, m =  \frac{ - 160}{ 4}

∴   m = - 40

So, Slope of line for given points is - 40

Now equation of line can be written as

y - ( - 2 ) = ( - 40 ) × ( x -  ( - 1 ) )

or, y + 2 =  ( - 40 ) × ( x + 1 )

or, y + 2 = - 40 x - 40

or, y = - 40 x - 40 - 2

∴  y = - 40 x - 42        

Hence the equation of line for given points is y = - 40 x - 42    Answer

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