Write the equation of the line that is parallel to y = 2x + 1 and passes through the point (4, 3).

Answer 1

y=2(x-4)+3

y=2x -5 or

2x-y = 5

Answer 2

Parallel lines have the SAME slope...so for the given formula y = 2x + 1 (given in y = mx + b form)

the slope, m = 2. The slope, m of the 2nd line will be 2.

Use the Point-Slope formula... y - y₁ = m(x - x₁) to find the equation of the 2nd line by plugging in the values of the given point (4, 3) for x₁ and y₁ and using the slope, m from the 1st equation

Therefore, y - 3 = 2(x - 4)

y +3 = 2x - 8 .....distributive (multiply the 2) across the terms in the parenthesis

-3 + 3.... isolate the y by bringing the 3 term to the RHS

y = 2x - 5 FINAL ANSWER