What is the slope of a line perpendicular to this line 3x+2y=19

3/2x

Step-by-step explanation:

Find the slope of the original line.

3x + 2y = 19

2y = -3x + 19

y = -2/3x + 19

Use the reciprocal with the opposite sign.

3/2x

tangent

step-by-step explanation:

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)