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bixtya [17]
3 years ago
5

Write the equation of the line with an x-intercept at (0,2) and perpendicular to 3x+4y=12.

Mathematics
2 answers:
Deffense [45]3 years ago
8 0
The answer is y=4/3+2
juin [17]3 years ago
6 0

First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).

Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.

The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.

So the equation is: y = 4/3 x + 2

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Using the Pythagorean theorem a^2 + b^2 = c^2
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