Bot GPT 4-o mini To find the point-slope equation of a line given the slope and a point on the line, you can use the point-slope form of the equation of a line, which is:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
In your case, the slope \(m\) is 2, and the point \((x_1, y_1)\) is (1, 9).
Substituting these values into the point-slope form, we get:
\[ y - 9 = 2(x - 1) \]
This is the point-slope equation of the line. You can simplify it further if necessary, but this form is perfectly acceptable for the point-slope equation.
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