3 years ago

Find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

7 0

Answer:

Below

Step-by-step explanation:

Let y' = mx + b be the equation of the second line

● m is the slope

● b is the y-intercept

The lines are parallel so they have the

same slope.

● y' = 3x + b

The second line crosses the point with the coordinates (2,11)

Replace y' by 11 and x by 2 to find b

● 11 = 3×2 + b

● 11 = 6 + b

Substract 6 from both sides

● 11 - 6 = 6 + b -6

● b = 5

● y' = 3x + 5

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