Remember to solve for first (if necessary) to get the equation into slope-intercept form (y=mx+b).
Graph each equation using the slope and y-intercept. If there is no y-intercept, write "NONE".
5. y=x-1
Slope (m) =
6. y=-4x+2
Slope (m) =
y-int. = (_
y A
12
y-int. = 


To solve these equations for slope-intercept form \( y = mx + b \), we need to identify the slope \( m \) and the y-intercept \( b \) for each equation.

5. **Equation:** \( y = x - 1 \)
   - This equation is already in slope-intercept form, where \( y = mx + b \).
   - **Slope (m):** 1 (the coefficient of \( x \))
   - **y-intercept (b):** -1

6. **Equation:** \( y = -4x + 2 \)
   - This equation is also already in slope-intercept form.
   - **Slope (m):** -4
   - **y-intercept (b):** 2

### Summary
- For \( y = x - 1 \):
  - Slope (m) = 1
  - y-intercept = -1
- For \( y = -4x + 2 \):
  - Slope (m) = -4
  - y-intercept = 2

Would you like details on how to graph these equations? 

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Here are five related questions you might find helpful:
1. How do we find the slope and y-intercept in other forms of linear equations?
2. What if there is no y-intercept in an equation?
3. How do we graph a line when given only the slope and one point?
4. How do changes in the slope \( m \) affect the steepness of the line?
5. What does a negative slope indicate about the direction of a line on a graph?

**Tip:** The slope \( m \) indicates how much \( y \) changes for each unit increase in \( x \). A positive \( m \) means the line goes up, while a negative \( m \) means it goes down.

Remember to solve for first (if necessary) to get the equation into slope-intercept form (y=mx+b). Graph each equation using the slope and y-intercept. If there is no y-intercept, write 'NONE'. 5. y=x-1 Slope (m) = 6. y=-4x+2 Slope (m) = y-int. = (_ y A 12 y-int. = 

Learn how to solve linear equations by identifying the slope and y-intercept in the slope-intercept form y = mx + b. This guide covers examples such as y = x - 1 and y = -4x + 2, explaining step-by-step how to graph each equation using the slope and y-intercept. Suitable for students in Grades 8-10.

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