Question

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)

Answer 1

(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 2

The required equation is
`(y-6)=(-2)/(11)(x+4)`

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,

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Here,
`(x_1,y_1)=(-4,6)` and
`(x_2,y_2)=(7,-8)`

Substitute in the formula,

`(y-6)=(-8-(-6))/(7-(-4))(x-(-4))`

`(y-6)=(-8+6)/(7+4)(x+4)`

`(y-6)=(-2)/(11)(x+4)`

Therefore, The required equation is
`(y-6)=-(2)/(11)(x+4)`