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morpeh [17]
3 years ago
8

What is the equation in point−slope form of the line passing through (−3, −4) and (0, 2)?

Mathematics
1 answer:
SashulF [63]3 years ago
5 0
The last one is the good one.

The point slope formula is,

y-y_0=m(x-x_0)

Where,

m=\frac{y_1-y_0}{x_1-x_0}

And,

(x_1,y_1)=(-3,-4)

(x_0,y_0)=(0,2)

So, 

y-(-4)=\frac{-4-2}{-3-0}(x-(-3))

y+4=2(x+3)
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C.

A doesn't work because x + x + x = 3x, not x^3.

B doesn't work because 14x + 10 - 2x has like terms, 14x and -2x can be combined, bit when you do so you get 14x - 2x, or 12x + 10. (So not 16x + 10)

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C, however, works fine. All they did is factor out a 3; if you distribute that 3 again, you get 12x + 16x back, so the two are equal.

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