Note the slope intercept form: y = mx + b, in which m = slope
Isolate the y. Note the equal sign, what you do to one side, you do to the other. First, add 3x to both sides
-3x (+3x) + 6y = (+3x) + 12
6y = 3x + 12
Fully isolate the y. Divide 6 from both sides (and to all terms)
(6y)/6 = (3x + 12)/6
y = (3x)/6 + (12)/6
Simplify
y = (1/2)x + 2
y = 0.5x + 2 is your equation.
The slope is direclty left of the x (or the m variable). In this case, it is 0.5
0.5 is your answer (or 1/2 if wanted in fraction form)
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Assume the smaller one is x, then the other ones will be x+2 and x+4
x(x+2) + 2 = 5(x+4)
x^2 + 2x - 5x - 18 = 0
-> x^2 - 3x - 18 = 0
-> (x-6)(x+3) = 0
-> x = 6 or -3, since x must be positive, then x = 6
So the numbers are: 6, 8, 10
This is easier than you think!
When a graph shows direct variation, it always <em>passes through the origin</em>
The origin is (0, 0)
The very <u>center! </u>
Your answer is the first graph!
Answer:
-4 < n ≤ 5
Step-by-step explanation:
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