Y=-2/3x+1
Y=3/2x+7
Y=-3/2x+7
The line that is perpendicular to the given line, is:
y = (-3/2)*x + 7
Remember that two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other slope.
Here we start with the line:
y = (2/3)*x + 3
So the slope is 2/3.
The opposite of the inverse of that would be -(3/2). Then any line with a slope of -3/2 will be perpendicular to the given line. So we conclude that the correct option is:
Y = -(3/2)x+7
If you want to learn more about perpendicular lines:
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Answer:
Step-by-step explanation:
From your last step, divide by 3 throughout.
You cannot divide by 6x throughout because 3 cannot be divided by 6x.
Another way to do it is:
However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.
Answer:
B
Step-by-step explanation:
This is because the leading zero isn't counted, but the trailing zero after the decimal point is, making it four.