Question

Find x, if slope of the slope of the line joining (x,2) and (8,-11) is -3/4.

Answer 1

slope= (-11-2)/(8-x)
or, -3/4= -13/(8-x)
or, -24+3x= -52
or, x = -28/3

Answer 2

Slope = -3/4

co-ordinates :

let (x,2) be (x1,y1) and (8,-11) be (x2,y2)

as we know that

y2-y1/x2-x1 = slope

=) -11-2/8-x = -3/4

=) -13/8-x = -3/4

=) -52 = -24+3x (by cross multiplication)

=) -52+24 = 3x

=) -28 = 3x

=) -28/3 = x

hope this answer helps