Questions: A line has a slope of -3/8 and passes through the point (-10,-2). What is its equation in pointslope form?

Solution Steps

The point-slope form of a line's equation is given by:

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

where \( m \) is the slope, and \((x_1, y_1)\) is a point on the line.

We are given the slope \( m = -\frac{3}{8} \) and the point \((-10, -2)\). Substitute these values into the point-slope form equation:

\[ y - (-2) = -\frac{3}{8}(x - (-10)) \]

Simplify the equation by removing the double negatives:

\[ y + 2 = -\frac{3}{8}(x + 10) \]

Final Answer