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

Choose the pointslope form of the equation below that represents the line that passes through the points 6 4 and 2 0 class=

Respuesta :

mhanifa

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

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The required equation is :

[tex]\boxed{ \boxed{y - 4 = - \dfrac{1}{2} (x + 6)}}[/tex]

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

Let's find the slope (m) ~

  • [tex] \mathrm{\dfrac{y_2 - y_1}{x_2 - x_1} }[/tex]

  • [tex] \dfrac{4 - 0}{ - 6 - 2} [/tex]

  • [tex] - \dfrac{4}{8} [/tex]

  • [tex] - \dfrac{ 1 }{2} [/tex]

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

  • [tex]y - 4 = - \dfrac{ 1}{2} (x - ( - 6))[/tex]

  • [tex]y - 4 = - \dfrac{1}{2} (x + 6)[/tex]

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