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iren [92.7K]
3 years ago
7

What equation is perpendicular to y=2x-3 and passes through (-1, 2)?

Mathematics
1 answer:
Wittaler [7]3 years ago
4 0

Answer:

\[y=-\frac{1}{2}x+\frac{5}{2}\]

Step-by-step explanation:

Equation of the given line: \[y=2x-3\]

Slope of the line = \[2\]

Slope of the perpendicular line = \[-\frac{1}{2}\]

So the equation of the perpendicular line:

\[y=-\frac{1}{2}x+c\]

This passes through the point (-1,2).Substituting in the equation:

\[2=-\frac{1}{2}*(-1)+c\]

=> \[c=2+\frac{1}{2}\]

=> \[c=\frac{5}{2}\]

So the equation of the line :

\[y=-\frac{1}{2}x+\frac{5}{2}\]

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Solve the system of equations by using the addition method
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How do you solve this system of equations using the addition method:
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1 Answer


IDKwhatName
Jun 30, 2017
x
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−
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,
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Explanation:
Right now, you have:
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5
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To make this easier, you must get rid of one variable, in this case I will remove
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To do this, I will multiply the whole of
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by 2 to give
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We now have:
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5
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All we need to do now is
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≡
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Divide both sides by 13 to find
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