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tresset_1 [31]
3 years ago
14

A line with a slope of 10 passes through the point (0,4). What is its equation in

Mathematics
1 answer:
Alexus [3.1K]3 years ago
7 0

Answer:

y=10x+4

Step-by-step explanation:

y-y1=m(x-x1)

y-4=10(x-0)

y-4=10(x)

y-4=10x

y=10x+4

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When x-differences are the same, y-differences will be the same for a linear function. When they are not the same, they will be proportional for a linear function.

{(0,1),(1,2),(2,3),(3,4)} - x-differences are all the same; y-differences are all 1 (linear, y=x+1)

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{(0,4),(1,6),(3,10),(5,14)} - x-differences are 1, 2, 2; y-differences are 2, 4, 4, so are proportional to (double) the x-differences (linear; y=2x+4)

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