determine the slope of two consecutive sides are parallel, perpendicular or neither(-1,2) (4,4) (2,-1) (-3,-3)

parallel

Step-by-step explanation:

Given the following coordinate

(-1,2) (4,4) and (2,-1) (-3,-3)

Two parallel lines will surely have the same slope. While the product of the two perpendicular lines will be equal to negative one.

Let's find the slope of the coordinate.

Slope m can be expressed as

M = (Y2 -Y1)/( X2 - X1)

For coordinate (-1,2) (4,4)

Slope m = ( 4 - 2 ) / (4 + 1)

Slope m = 2/5

For coordinate (2,-1) (-3,-3)

Slope m = ( -3 +1 ) / ( -3 -2 )

Slope m = -2/ -5

Slope m = 2/5

Since the two slope are the same, we can conclude that the two lines are parallel to each other.

step-by-step explanation:

jjj

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .