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docker41 [41]
3 years ago
9

Find the equation of the line

Mathematics
2 answers:
Alona [7]3 years ago
8 0

Given:

A line passes through two points are (2,11) and (-8,-19).

To find:

The equation of the line.

Solution:

The line passes through two points are (2,11) and (-8,-19). So, the equation of line is

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-11=\dfrac{-19-11}{-8-2}(x-2)

y-11=\dfrac{-30}{-10}(x-2)

y-11=3(x-2)

Using distributive property, we get

y-11=3(x)+3(-2)

y-11=3x-6

Adding 11 on both sides, we get

y=3x-6+11

y=3x+5

Therefore, the equation of line is y=3x+5. So, the missing values are 3 and 5 respectively.

fomenos3 years ago
3 0

Answer: 3x+5

Step-by-step explanation:

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