Question

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

Answer 1

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:
\( y = 5x - 19 \)