3x + 6y = 4y - 4

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

Answer: y = 2/3x + 41/3

Step-by-step explanation:

First convert the equation into slope-intercept

3x + 6y = 4y - 4

-4y -4y

3x + 2y = -4

-3x -3x

2y = -3x - 4

y = -3/2x - 2

Perpendicular lines have a negative reciprocal for their slopes.

The negative reciprocal of -3/2 is 2/3

Now using the slope 2/3 you will use the formula y =mx +b and input the slope, and the x and y coordinates of the given point, (-10,7), to solve for the y-intercept.

7 = 2/3(-10) + b

7 = -20/ 3 + b

+ 20/3 + 20/3

b = 20/3 + 21/3 = 41/3

Since the the y-intercept is 41/3 then the equation will be , y = 2/3x + 41/3

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