Write an equation of the line that passes through point p and is perpendicular to the line with the given equation

1 answer:

5 0

Do you have the specific point??

Remember, if 2 lines are perpendicular, their slopes are opposite reciprocals. So if one line has a slope of 4, the other line should have a slope of -1/4.

Hopefully your equation is in y=mx+b form. If so,

make sure you know slope (m) and the y-intercept. After this is done, plug in the points from p for y and x, and make sure to turn m into -1/m. Solve for b, and your new equation should be y=(new slope)x+(new y-intercept)

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Prove or disprove that the circle with equation x^2-4x+y^2=-3 intersects the y axis

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The general equation given is x^2 - 4x + y^2 = -3. Transform this to an equation of a circle of the form x^2 + y^2 = r^2.

Use completing the square method:

x^2 - 4x + 4 + y^2 = -3 + 4
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$v = \frac{4}{3} \times \pi \times ({ \frac{8}{2} })^{3} \\$