Question

Write an equation for the line that is parallel to the given line and passes through the given point.

Given line: y= 2x + 4 Given Point: (3, 8)


A.) y = 2x + 2
B.) y = 2x + 6
C.) y = -2x + 6
D.) y = - 1/2x + 2

Answer 1

Parallel lines have the same slope.

If y = 2x + 4, then parallel line has equal y = 2x + b.

The line passes throught the point (3, 8). Put the coordinates of the point to the equation of a line:

8 = 2(3) + b

8 = 6 + b      subtract 6 from both sides

2 = b

Answer: A) y = 2x + 2