123k views
3 votes
What is the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1?

1 Answer

5 votes

Answer:

y= 2x -8

Explanation:

To find the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1, we will follow the steps below;

since the line is parallel to y=2x + 1, then the will have the same slope. That is; m₁ = m₂

comparing y = 2x + 1 to y = mx + c

m= 2

we will substitute m= 2 x= 5 and y = 2 into y = mx + c and then solve for c

y = mx + c

2 = 2(5) + c

2 = 10 + c

subtract 10 from both-side of the equation

2-10 = 10 -10 + c

-8 = c

c=-8

To find our equation, we will substitute m = 2 and c=-8 into y=mx + c

y = 2x - 8

Therefore, the equation of a line passing through (5,2) and parallel to the line represented by the equation y= 2x + 1 is y= 2x -8

User FloSchmo
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories