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. x=-3

b. x=3

c. x=9

d. x=11
(could you also show it step by step ? )

The value of 'x' is -3 and this can be determined by using the two point slope formula and also by using the given data.

Given :

When two points are given then to determine the slope of the given line below formula can be used:

where and are the points on the same line.

Now, substitute the value of slope m and points and in the above equation in order to determine the value of 'x'.

x - 4 = -7

x = -3

So, the value of x is -3.

For more information, refer to the link given below:

link

A

Step-by-step explanation:

Calculate the slope m using the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (4, 1) and (x₂, y₂ ) = (x, - 6)

m = = 1

m = = 1 ( cross- multiply )

x - 4 = - 7 ( add 4 to both sides )

x = - 3 → A