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Anna [14]
3 years ago
15

What equation represents the line that passes through points (1.-5) and (3 -17)?

Mathematics
1 answer:
zzz [600]3 years ago
5 0

ALL LINES CAN BE REPRESENTED IN THE FORM f(x) = ax+b.

We know that:

f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5

and

f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17

Observe that:

3a+b = 2a+a+b = 2a+(a+b)

So:

2a+(a+b) =-17

But we know that a+b = -5, so:

2a+(a+b) =-17

2a+(-5) = -17

2a = -12

a = -6

Since:

a+b = -5

(-6)+b = -5

b = 1

So the line is:

f(x) = 1-6x

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