Question

The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1 what is the value of x?

A -3
b 3
c 9
d 11

Answer 1

x=9

Explanation:

The Slope is given by the following equation

m= (y2-y1) / (x2-x1)

Where x2=4, x1=x, y2=1, y1=-6, m=1 by requirements of this problem

Developing the equation we have this:

`1=(1-(-6))/(4-x)`

Which leaves to the following equation

`5=4-x`

Resulting that x=9