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

`▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪`

The required equation is :

`\boxed{ \boxed{y - 4 = - (1)/(2) (x + 6)}}`

`\large \boxed{ \mathfrak{Explanation}}`

Let's find the slope (m) ~

• 
  `\mathrm{(y_2 - y_1)/(x_2 - x_1) }`

• 
  `(4 - 0)/( - 6 - 2)`

• 
  `- (4)/(8)`

• 
  `- ( 1 )/(2)`

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

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

• 
  `y - 4 = - (1)/(2) (x + 6)`

Answer 2

• B. y - 4 = - 1/2(x + 6)

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