Answer:
x = 10
Step-by-step explanation:
Given the slope, m = -½, and the point, (-12, 9):
We must establish the linear equation first, so that we could determine the possible value of the x-coordinate paired with the y-coordinate of -2.
Substitute the slope and the given point into the slope-intercept form, y = mx + b and solve for b:
y = mx + b
9 = -½(-12) + b
9 = 6 + b
9 - 6 = 6 - 6 + b
3 = b
Therefore, the linear equation is y = -½x + 3. We can use this equation to solve for the possible value of the missing x-coordinate:
y = -½x + 3
-2 = -½x + 3
-2 - 3 = -½x + 3 - 3
-5 = -½x
Multiply both sides by -2 to isolate x:
(-2) -5 = (-2) -½x
10 = x
Therefore, the value of x in the ordered pair, (x , -2) is 10.
