Question

Write the equation of the line that passes through (3, −2) and is perpendicular to y equals 3 fourths times x plus 6 period y equals negative 4 thirds times x plus 1 third y equals negative 4 thirds times x plus 2 y equals 3 fourths times x minus 17 fourths y equals 4 thirds times x minus​

Answer 1

Answer:

Its D, I couldn't rlly fit the explanation in sry

Answer 2

The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.

What is the equation of a perpendicular line?

Let the equation of the line be ax + by + c = 0. Then the equation of the perpendicular line that is perpendicular to the line ax + by + c = 0 is given as bx - ay + d = 0. Or if the slope of the line is m, then the slope of the perpendicular line will be negative 1/m.

The equation of the line is given below.

y = (3/4)x + 1/3

The slope of the line is 3/4. Then the slope of the perpendicular line will be

Slope = - 1 / (3/4)

Slope = - 4 / 3

Then the equation of the line will be

y = -(4/3)x + D

The line is passing through (3, -2), then the value of D will be

-2 = (-4/3) × 3 + D

-2 = - 4 + D

D = 2

The equation of the line that passes through (3, −2) and is perpendicular to y = (3/4)x + 6 will be y = -(4/3)x + 2. Then the correct option is B.

More about the equation of a perpendicular line link is given below.

brainly.com/question/14200719

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