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Agata [3.3K]
3 years ago
5

Can someone please help me with this problem? An explanation would be great, but it can be short. Thank you!!

Mathematics
1 answer:
ss7ja [257]3 years ago
7 0

We are given two points: (4, -8) and (8, 5)

General equation of a line: y = mx + c

First find m (the gradient). There is a formula for this: (change in y)/(change in x) = gradient

(5 - -8) / (8 - 4) = (13) / (4) = 3.25 = m

y = 3.25x + c

Now we need to find c (the y-intercept; the value of y when x=0).

Substitute in any one of the coordinates - let's use (8, 5)

(5) = 3.25(8) + c

(5) = 26 + c

c = -21

The equation of the line: y = 3.25x - 21


I think that this answer is correct - sorry if it seems rushed.

Hope this answer helps :)

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