Question

Question
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)
Responses

y+8=−3(x+14)
y plus 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)
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

Answer 1

To write the linear equation in point-slope form, we can use the point-slope formula:

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

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

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

Substituting these values into the formula gives:

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

Simplifying, this becomes:

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

Thus, the correct response is:

**y + 8 = -3(x + 14)**