Answer:
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
