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.