A) Write the linear equation in point-slope form given a line that passes through the point

Question

(−14, 8) and has a slope of −3. (1 point)

Answer 1

The point-slope form of a linear equation is given by the formula:

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

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

Given the point \((−14, 8)\) and the slope \( m = -3 \), we can substitute these values into the formula:

\[ y - 8 = -3(x - (-14)) \]

This simplifies to:

\[ y - 8 = -3(x + 14) \]

Thus, the linear equation in point-slope form is:

\[ y - 8 = -3(x + 14) \]