Questions: Use point-slope form to write the equation of a line that passes through the point (-16,-14) with slope -7/8.

Transcript text: Question Watch Video Use point-slope form to write the equation of a line that passes through the point $(-16,-14)$ with slope $-\frac{7}{8}$.

Solution

Solution Steps

Step 1: Recall the point-slope form

The point-slope form of a line 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.

Step 2: Substitute the given values

We are given the point $ (-16, -14) $ and the slope $ m = -\frac{7}{8} $. Substituting these values into the point-slope form: \[ y - (-14) = -\frac{7}{8}(x - (-16)) \]

Step 3: Simplify the equation

Simplify the equation by removing the double negatives: \[ y + 14 = -\frac{7}{8}(x + 16) \]