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timurjin [86]
3 years ago
15

Find the equation of a line that passes through the point (4,2) that is perpendicular to the line y=4/3 x

Mathematics
1 answer:
Mrac [35]3 years ago
8 0

Answer:

y=\frac{3}{4}x-1

Step-by-step explanation:

Since we're looking at perpendicular lines, the slope of the new line is the reciprocal of the original line.

So the slope of our new line is \frac{3}{4}

So far, we are looking at y=\frac{3}{4} x+b

Now we need to find the b value by plugging in the given point.

2=\frac{3}{4}(4)+b\\  2=3+b\\ b=-1

So the final equation is y=\frac{3}{4}x-1

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