Bot GPT 4-o mini To find the slope of the line given by the equation \( y - 7 = 8(x - 14) \), we first need to rewrite the equation in slope-intercept form, which is \( y = mx + b \), where \( m \) represents the slope.
Starting with the given equation:
\[ y - 7 = 8(x - 14) \]
First, distribute the 8 on the right side:
\[ y - 7 = 8x - 112 \]
Next, add 7 to both sides to solve for \( y \):
\[ y = 8x - 112 + 7 \]
This simplifies to:
\[ y = 8x - 105 \]
Now, the equation is in the slope-intercept form \( y = mx + b \). From this, we can see that the slope \( m \) is:
\[ m = 8 \]
Therefore, the slope of the line is \( \boxed{8} \).
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