Bot GPT 4-o mini To find the equation of a line in slope-intercept form, you can use the formula:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
Given:
- Slope (\( m \)) = -2
- Point \((x, y) = (6, 13)\)
First, we can substitute the slope and the coordinates of the point into the equation to solve for \( b \):
\[ y = mx + b \ 13 = -2(6) + b \ 13 = -12 + b \ b = 13 + 12 \ b = 25 \]
Now we have the slope and the y-intercept, so we can write the equation of the line in slope-intercept form:
\[ y = -2x + 25 \]
Thus, in the form \( y = ?x + ? \), we have:
\[ y = -2x + 25 \]
So the filled-in blanks are: \( ? = -2 \) and \( ? = 25 \).
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