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alexdok [17]
3 years ago
9

Find the equation of a line that passes through the points (1,2) and (5,6). Leave your answer in the form y=mx+c

Mathematics
1 answer:
Ainat [17]3 years ago
5 0

Answer:

y=x+1

Step-by-step explanation:

first find the slope using the two coordinates:

use the slope formula- m=y^2-y^1/x^2-x^1

6-2/5-1

=4/4

=1

y=mx+b

now plug in one of the coordinates, and the slope we just found into the slope intercept formula

2=1(1)+b

2=1+b

subtract 1 from both sides

1=b

1=b; m=1,

y=x+1

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Use the figure to the right to find the value of PT. T is the midpoint of PQ.
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Answer:

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Step-by-step explanation:

Given

PT = 3x + 3

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Midpoint, T

Required

Determine PT

First, the value of x has to be calculated;

Since T is the midpoint, then:

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This implies

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Length PQ can then be calculated using:

PQ = PT + TQ

PQ = 3x +3 + 5x -9

Collect Like Terms

PQ = 3x+ 5x +3  -9

PQ = 8x -6

Substitute 6 for x

PQ = 8 * 6 - 6

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