Can someone help me with this? Thanks! :)
1 answer:
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Remark
The best way to answer something like this is to actually graph both equations. I have done that for you below.
Red Line: f(x) = 1/4x - 1
Blue Line: g(x) = 1/2x - 2
Now look at the answers.
A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.
B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].
C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.
D is correct.
E is just wrong. Both parts are incorrect.
Hello!
Begin by finding the slope that would be perpendicular to the given equation.
A perpendicular line has a slope that is the opposite reciprocal of the original. Therefore:
1/2 --> -2
Find the answer choice that contains a slope of -2 when rewritten in the form y = mx + b:
Choice 1:
x + 2y = 2
Move x to the other side:
2y = -x + 2
Divide both sides by 2:
y = -1/2x + 1. This choice is incorrect.
Choice 2:
x - 2y = -12
Move x to the other side:
-2y = -x - 12
Divide both sides by -2:
y = 1/2x + 6. This choice is incorrect.
Choice 3:
2x + y = 3
Move 2x to the other side:
y = -2x + 3. This contains a slope of -2, which is correct.
Choice 4:
y - 2x = -5
Move -2x to the opposite side:
y = 2x - 5. This contains a slope of positive 2, so it is incorrect.
The correct answer is 2x + y = 3.