To transform the equation in point-slope form \( y - 1 = 5(x - 4) \) to slope-intercept form, you need to distribute and then isolate \( y \).
Here are the steps:
-
Start with the equation:
\( y - 1 = 5(x - 4) \) -
Distribute the 5:
\( y - 1 = 5x - 20 \) -
Add 1 to both sides to isolate \( y \):
\( y = 5x - 20 + 1 \)
\( y = 5x - 19 \)
So the missing step that you mentioned is distributing the 5 and then adding 1 to both sides.
The final answer is indeed:
\( y = 5x - 19 \)