To put the equation \( y + 3 = 2(x + 4) \) into slope-intercept form \( y = mx + b \), follow these steps:

1. Distribute the \( 2 \) on the right-hand side:
   \[
   y + 3 = 2x + 8
   \]

2. Subtract \( 3 \) from both sides to isolate \( y \):
   \[
   y = 2x + 8 - 3
   \]

3. Simplify the equation:
   \[
   y = 2x + 5
   \]

So, the equation in slope-intercept form is:
\[
y = 2x + 5
\]

Here, the slope \( m = 2 \) and the y-intercept \( b = 5 \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you find the slope and y-intercept from an equation in slope-intercept form?
2. How can you convert an equation from standard form to slope-intercept form?
3. What is the graphical interpretation of the slope and y-intercept?
4. How does the slope \( m \) affect the steepness of a line?
5. What happens to the graph if you change the y-intercept \( b \)?

**Tip:** Always remember, the slope-intercept form is useful for quickly identifying the slope and the y-intercept, which helps in graphing the line.

put y + 3 = 2(x + 4) in slope intercept form

Learn how to convert the linear equation y + 3 = 2(x + 4) to slope-intercept form with a step-by-step solution. This problem covers key algebraic concepts, including distributing, isolating variables, and identifying the slope and y-intercept. Suitable for students in Grades 7-9.

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