Question

HELP

What is the equation in point-slope form of a line that passes through the points (7, -8) and (-4, 6)

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

Answer 1

A

Explanation:

The point slope form of the equation is
`y-y_1 = m( x-x_1)` where m is the slope and
`(x_1,y_1)` is a point on the line.

First find the slope by subtracting two points from the line.

`(y_2-y_1)/(x_2-x_1) = (6--8)/(-4-7) =(14)/(-11) =-(14)/(11)`

To write the equation substitute in:

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

The answer is A.