A line with a slope of 2 passes through the point (9,

Question

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2). What is its equation in point-slope form?

Answer 1

To write the equation of a line in point-slope form, we use the formula:

\[ y - y_1 = m(x - x_1) \]

where \( m \) is the slope and \((x_1, y_1)\) is the point the line passes through.

Here, the slope \( m \) is 2 and the point is \((9, -2)\). Plugging in these values, we have:

\[ y - (-2) = 2(x - 9) \]

This simplifies to:

\[ y + 2 = 2(x - 9) \]

So, the equation of the line in point-slope form is:

\[ y + 2 = 2(x - 9) \]