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To solve for \( y \) in the equation:

\[
y + 3 = 4(x - 5)
\]

we can follow these steps:

1. Distribute the \( 4 \) on the right side:
   \[
   y + 3 = 4x - 20
   \]

2. Next, isolate \( y \) by subtracting \( 3 \) from both sides:
   \[
   y = 4x - 20 - 3
   \]

3. Simplify the constants:
   \[
   y = 4x - 23
   \]

So, the answer is:
- Slope (\( m \)) is \( 4 \).
- Y-intercept (\( b \)) is \( -23 \).

The equation in slope-intercept form is:
\[
y = 4x - 23
\]

Would you like more details or have any questions?

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Here are some related questions you might find helpful:
1. How do you convert an equation from point-slope to slope-intercept form?
2. What is the significance of the slope and y-intercept in a linear equation?
3. How would this equation look if it were in standard form?
4. What does it mean if the slope is positive or negative?
5. How can you find the x-intercept of this equation?

**Tip:** When converting equations, remember to distribute carefully and combine constants to simplify.

Solve for y in the equation y + 3 = 4(x - 5).

Learn how to convert the equation y + 3 = 4(x - 5) from point-slope to slope-intercept form. This solution explains step-by-step how to isolate y and simplify, covering algebraic concepts like distribution and combining like terms. Suitable for students in Grades 8-10.

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