Here are the step-by-step solutions to the problems provided:
### 1. Write the equation of a line given \( m = 6 \) and the point \( (4, -1) \)
Using the point-slope form \( y - y_1 = m(x - x_1) \):
\[
y - (-1) = 6(x - 4)
\]
\[
y + 1 = 6x - 24
\]
\[
y = 6x - 25
\]
**Equation:** \( y = 6x - 25 \)
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### 2. Graph the line \( y < 7x + 4 \)
- First, graph the line \( y = 7x + 4 \) (the boundary line).
- This line has a slope of 7 and a