Question

if tha slope of joing the line to tha points (6,-3)and(x7) is 2.find the value of x

Answer 1

if A (x₁, y₁) and B (x₂,y₂) two points are given,
then, slope of AB = (y₂ - y₁)/(x₂ - x₁)
use this concept here,

slope of line = 2
{7 -(-3)}/(x - 6) = 2
10/(x - 6) = 2
5 = x - 6
x = 11

Answer 2

Let x1=6 and y1=-7and x2 =X y2=7
Slope of line =y2-y1÷x2-x1
2=14÷x-6
2=7÷x-3
7=2 (x-3)
7+6=2
13=2x
x=13÷2