Write an equation of the line that passes through point (2, -1) and is perpendicular to y = 2/3 x - 4.

y=-3x/2+2

Step-by-step explanation:

slope of original line : 2/3

slope of line perpendicular:

(m)(2/3)=-1

m=-3/2

point slope form:

(y+1)/(x-2)=-3/2

2y+2=-3x+6

y=-3x/2+2

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

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