Question

Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

181

likes

906 views

Answer to a math question Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)

$Expert avatar$

Madelyn

4.7

86 Answers

Rearranging the equation: 3y=-5x+5 y=-\frac{5}{3}x+\frac{5}{3} So slope here is -\frac{5}{3} Since it is perpendicular, slope should be negative reciprocal: m_{perpendicular}=\frac{3}{5} Equation as it passes through (0,-2): y-\left(-2\right)=\frac{3}{5}\left(x-0\right)

y+2=\frac{3}{5}x

Frequently asked questions (FAQs)

What is the maximum and minimum value of the function f(x) = 3x^2 - 4x + 5 on the interval [0, 1]?

What are the main characteristics of an ellipse function? Explain how the major and minor axes, eccentricity, and foci are related.

Math Question: What is the 4th higher-order derivative of the function f(x) = 3x^5 - 2x^3 + 4x - 7?

New questions in Mathematics

Find 2 numbers that the sum of 1/3 of the first plus 1/5 of the second will be equal to 13 and that if you multiply the first by 5 and the second by 7 you get 247 as the sum of the two products with replacement solution

calculate the derivative by the limit definition: f(x) = 6x^3 + 2

-8+3/5

X^2 = 25

The graph of the equation x²= 4py is a parabola with focus F(_,_) and directrix y=_____ Therefore, the graph of x²=12y is a parabola with focus F(_,_) and a directrix y=_____

Elliot opened a savings account and deposited $5000.00 as principal. The account earns 4% interest, compounded annually. How much interest will he earn after 5 years? Round your answer to the nearest cent.