ACT help?
1 answer:
Hello!
Firstly, we can complete the linear function. To complete it, we need to find the y-intercept of the equation. To find it, we use the equation: y = -2/3x + b, substitute the point (2, 1) into the equation, and solve for b.
1 = -2/3(2) + b
1 = -4/3 + b (add 4/3 to both sides)
b = 7/3
The completed linear equation is: y = -2/3x + 7/3.
The easiest way to find the ordered pair that is on the graph is to graph the equation and label the points (the graph is posted below).
As seen on the graph, the ordered pair, (8, -3), is graphed. To prove it is correct, we can substitute the ordered pair into the linear function.
-3 = -2/3(8) + 7/3
-3 = -16/3 + 7/3
-3 = -3 | True!
Therefore, the answer is choice D, (8, -3).
I don't know any good sites with ACT practice problems, sorry and good luck!
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Part A:
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So, (8,10) is not included in the solution area for the system.
I have attached the graph of this system of inequalities.
Part B:
Plug in (8,10) into both equations
10 > 3(8) + 10
10 > 24 + 10
10 > 34
This is false!
10 < (-3/4)(8) - 1
10 < (-3)(2) - 1
10 < -6 - 1
10 < -7
This is also false!
So, (8,10) is not included in the solution area for the system.