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)