46.9k views
2 votes
Find the equation of the line that is parallel to y = 3x - 2 and contains the points ( 2,11 )

1 Answer

3 votes

Answer:

Below

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

So

● y' = 3x + 5

User Jeroen Vannevel
by
6.6k points