Write the linear equation in point-slope form given a line that passes through the point (−14,8) and has a slope of −3.(1 point)

Question

Responses

y−8=−3(x−14)
y minus 8 equals negative 3 left parenthesis x minus 14 right parenthesis

y−8=−3(x+14)
y minus 8 equals negative 3 left parenthesis x plus 14 right parenthesis

y+8=3(x+14)
y plus 8 equals 3 left parenthesis x plus 14 right parenthesis

y+8=−3(x+14)

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.

In this case, the point is \( (−14, 8) \) and the slope \( m \) is \( −3 \).

Plugging in these values, we have:

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

This simplifies to:

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

Thus, the correct response is:

y - 8 = -3(x + 14)