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iren [92.7K]
2 years ago
7

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

Mathematics
1 answer:
Wittaler [7]2 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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