Question

The slope of a line is one of the points on that line is (-5, 2). Another point on the line is (x, -4). What value does x have to be?

A. x=−1
B. x=0
C. x=1
D. x=−2

Answer 1

The value of x has to be -1.

Step-by-step explanation:

The slope of a line can be determined using the formula:

slope = (change in y)/(change in x)

We know that one point on the line is (-5, 2) and another point is (x, -4). Plugging in these values into the formula:

(-4 - 2)/(x - (-5)) = 3/1

Simplifying the equation gives us:

-6/(x + 5) = 3

Multiplying both sides by (x + 5) gives us:

-6 = 3(x + 5)

Solving for x gives us:

x = -1