Write the linear equation in point-slope form given a line that passes through the point (−14,8)

Question

and has a slope of −3
.(1 point)
Responses

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

y+8=3(x+14)

Answer 1

To write the equation of a line in point-slope form, we use the formula:

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

where \( (x_1, y_1) \) is a point on the line and \( m \) is the slope. Given the point \((-14, 8)\) and the slope \(-3\):

• \( m = -3 \)
• \( x_1 = -14 \)
• \( y_1 = 8 \)

Plugging these values into the point-slope formula, we get:

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

So, the correct response is:

y − 8 = −3(x + 14)