Solve the equation. Isolate the variable, x.
Note the equal sign, what you do to one side, you do to the other.
First, subtract 8 and 10x from both sides:
2x (-10x) + 8 (-8) = 12 (-8) + 10x (-10x)
2x - 10x = 12 - 8
Simplify. Combine like terms:
(2x - 10x) = (12 - 8)
-8x = 4
Isolate the variable, x. Divide -8 from both sides:
(-8x)/-8 = (4)/-8
x = -(4/8)
Simplify:
x = -1/2
-1/2 is your answer for x.
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The 3rd answer choice (y = x - 2). The y-intercept based on the table is at -2 (0,2), and the slope is y/x which in this case is -1/-1 = 1. The equation y = x - 2 follows the form of y = mx + b where “b” is the y-intercept and “m” is the slope. Since the slope is “1”, m = “1”, leaving the equation to have “x” by itself without a true coefficient. To add on, the y-intercept is -2, letting b = -2. Hence, the third option is correct.
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