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WARRIOR [948]
3 years ago
5

Which equation represents the line that passes through the points (2,7) and (1,5)

Mathematics
1 answer:
Dimas [21]3 years ago
5 0

Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

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Brilliant_brown [7]

Hey there!!

Let's take the length of the bigger piece as x inches

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Answer:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

Step-by-step explanation:

so I hope we're on understanding that I don't actually know the answer you know you have to earn points on this app so to like for it to keep answering your questions I've only done this once I'm so sorry yeahso we're going to be honest I don't really know the answer but good luck and I'm sorry for wasting your time so

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