Question

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

(-4, 6)?​

Answer 1

Explanation:

let

(-4,6)=(x1,y1)

(7,-8)=(x2,y2)

Then, equation of line:

y-y1=[(y2-y1) /(x2-x1)]×(x-x1)

y-6 =[(-8 -6)/{7-(-4)}]×{x-(-4)}

y-6 =[-14/11]×(x+4)

.....

Answer 2

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