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write the equation of the line that passes through the given points: (4,7), (6,13)
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write the equation of the line that passes through the given points:
(4,7), (6,13)
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Mathematics
4 years
2021-08-22T21:02:53+00:00
2021-08-22T21:02:53+00:00 1 Answers
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Answers ( )
Answer:
y = 3x – 5
Step-by-step explanation:
Find the slope using rise over run (y2 – y1) / (x2 – x1)
Plug in the points:
(13 – 7) / (6 – 4)
6 / 2
= 3
Then, plug this and a point into y = mx + b to solve for b:
y = mx + b
7 = 3(4) + b
7 = 12 + b
-5 = b
Then, plug this and the slope into y = mx + b to get the equation:
y = 3x – 5 will be the equation