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

y= 2x -8

Step-by-step 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

answer: my brother can figure it out, imma go get him so i can answer : ) edit: my brother is sleeping, sorry man

step-by-step explanation: