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

the unknown X value is -3

Step-by-step explanation:

Let's determine X using the formula for the slope of a straight line, which

is m = (change in y) / (change in x).  In this particular case, going from (4, 1) to (X, -6), the change in x is (X - 4) and the change in y is -6 - 1, or -7.  Thus,

the slope m is:

                 -7

m = 1 =

              X - 4

And so:   1(X - 4) = -7, or X - 4 = -7, or X = -3

                                       -7

Check:  Does m = -4 = = 1 as specified in the problem statement?

                                       -3 - 4        YES

So the unknown X value is -3.

a

step-by-step explanation:

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i'm sorry mate, but i am not seeing any figures. i am unable to solve this for you.