What is the missing step to transforming the equation below from point-slope form to slope-intercept form?

У - 1 = 5(х - 4)
[Select )
Add 1: y = 5x - 19
Final answer: y = 5x - 19

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
4 hours ago

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:

  1. Start with the equation:
    \( y - 1 = 5(x - 4) \)

  2. Distribute the 5:
    \( y - 1 = 5x - 20 \)

  3. 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:
\( y = 5x - 19 \)