briannathibeault
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Which is an equation in point slope form of the line that passes through the points. (7, -8) and (-4, 6)?

A. y+6=-14/11(x-2)
B. y-6=-2/3(x+4)
C. y+6=-2/3(x-2)
D. y-6=-14/11(x+4)

Respuesta :

choixongdong

(7, -8) and (-4, 6)

Slope = (6 + 8) / (-4 - 7) = -14/11

point slope form equation passing thru (-4, 6)

y - 6 = -14/11(x + 4)

Answer

D) y - 6 = -14/11(x + 4)

Answer:

The required equation is [tex](y-6)=\frac{-2}{11}(x+4)[/tex]

Step-by-step explanation:

To find : Which is an equation in point slope form of the line that passes through the points. (7, -8) and (-4, 6)?

Solution :

Applying two point slope form,

[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Here, [tex](x_1,y_1)=(-4,6)[/tex] and [tex](x_2,y_2)=(7,-8)[/tex]

Substitute in the formula,

[tex](y-6)=\frac{-8-(-6)}{7-(-4)}(x-(-4))[/tex]

[tex](y-6)=\frac{-8+6}{7+4}(x+4)[/tex]

[tex](y-6)=\frac{-2}{11}(x+4)[/tex]

Therefore, The required equation is [tex](y-6)=-\frac{2}{11}(x+4)[/tex]

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