Find an equation of the line through (1,5) and parallel to y=3x-2 Write the equation using function notation

Answer 1

Parallel lines have the SAME SLOPE. Since the formula is in the form y=mx+b, the slope. m. is 3.

The line is y = 3x + b and goes through (1,5), so, let's determine b:

5 = 3(1) + b

2 = b

f(x) = 3x + 2

Check (easy, but important):

f(1) = 3(1) + 2

f(1) = 5