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What is an equation of the line that passes through the points ( 3 , 1 ) and ( − 3 , − 7 ) ?

1 Answer

2 votes

Answer:

y = 4/3x - 3

Explanation:

Use this formula to find the slope first.

(y2 - y1) / (x2 - x1)

(x2, y2) --> (-3, -7)

(x1, y1) ---> (3, 1)

Now plug in:

(-7 - 1) / (-3 - 3) = -8 / -6 = 4/3

Now find the y intercept by plugging any points to y= 4/3x + b

I will use (3, 1).

1 = 4/3(3) + b

1 = 4 + b (subtract 4 on both sides)

-3 = b

So the formula is

y = 4/3x - 3

User Duncan Krebs
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