To convert the equation \( y - 8 = 2(x - 1) \) into slope-intercept form (which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept), follow these steps:

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

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

3. Simplify:
   \[
   y = 2x + 6
   \]

So the equation in slope-intercept form is:
\[
y = 2x + 6
\]
The slope is \( m = 2 \), and the y-intercept is \( b = 6 \).

Do you want any more details on this or have any questions?

Here are 5 related questions:
1. How do you find the slope from two points?
2. What is the standard form of a linear equation?
3. How do you convert slope-intercept form to point-slope form?
4. What does the slope represent in real-life scenarios?
5. How can you graph a linear equation using the slope and y-intercept?

**Tip:** When working with linear equations, always check if it’s easier to rearrange terms before solving for \( y \).

Learn how to convert the equation y-8=2(x-1) into slope-intercept form with this step-by-step guide. Understand key algebraic concepts like the slope-intercept form, slope calculation, and equation manipulation. Suitable for students in Grades 8-10.

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