Question

Choose the point-slope form of the equation below that represents the line that passes through the points (−6, 4) and (2, 0)

Answer 1

Answer:

• B.  y - 4 = - 1/2(x + 6)

Step-by-step explanation:

Given points on the line:

• (−6, 4) and (2, 0)

Find the slope:

• m = (0 - 4)/(2 - (-6)) = -4/ 8 = -1/2

Point slope form using the first point:

• y - 4 = - 1/2(x - (- 6)) ⇒ y - 4 = - 1/2(x + 6)

Correct choice is B

Answer 2

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

The required equation is :

$\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}$

$\large \boxed{ \mathfrak{Explanation}}$

Let's find the slope (m) ~

• $\mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }$

• $\dfrac{4 - 0}{ - 6 - 2}$

• $- \dfrac{4}{8}$

• $- \dfrac{ 1 }{2}$

now, let's use the slope and the points to write the equation of line in point slope form ~

• $y - 4 = - \dfrac{ 1}{2} (x - ( - 6))$

• $y - 4 = - \dfrac{1}{2} (x + 6)$