Question

A line is parallel to y = 5x + 3 and

Answer 1

Answer:

  y = 5x -6

Step-by-step explanation:

The parallel line will have the same slope. We can rearrange the slope-intercept equation to let us solve for the y-intercept:

  y = mx +b . . . . . . . slope-intercept equation

  b = y - mx . . . . . . . . solved for b

  b = 9 -5(3) = -6

Then the equation of the parallel line is ...

  y = 5x -6

_____

Additional comment

If you use the hint, your point-slope equation is ...

  y -9 = 5(x -3)

  y = 5x -15 +9 . . . . eliminate parentheses, add 9

  y = 5x -6 . . . . . . simplified

Answer 2

Answer:

y = 5x - 6

Step-by-step explanation:

y = 5x + 3

y = 5x + b

9 = 5(3) + b

9 = 15 + b

-15 -15

-6 = b

y = mx + b

y = 5x - 6

Hope this helps!