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Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).
Question
Write a function equation that represents a line that contains the two points (-3, 5) and (2, 10).
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Mathematics
5 years
2021-07-18T21:13:33+00:00
2021-07-18T21:13:33+00:00 1 Answers
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Step-by-step explanation:
1. 1st of all calculate the gradient
( – 3, 5) ( 2, 10)
Gradient = (10 – 5) / ( 2–3)
= 1
2. Then find the eq
Y = mx + c
Where m is the gradient
y= 1x + c
Now replace any 2 coordinates from above in the eq.
For ex I’m taking (2, 10)
Y = 1x + c
In the coordinate, x = 2 and y =10
By replacing this in the eq, I will find c
10 = 1(2) + c
2 + c = 10
c = 10 – 2
= 8
So the eq is y = x + 8 ⬅️