Help on parallel or perpendicular lines

The answer is option C.

Hope this helps you

C

Step-by-step explanation:

find slope of the two lines:

(-6,5) , (-2,7)

m=y2-y1/x2-x1

m=7-5/-2-(-6)

m=2/4=1/2 for first line

second line : (4,2) , (6,6)

m=6-2/6-4

m=4/2=2

parallel lines have same slope, perpendicular has opposite reciprocal slope

-2

7 - 9 = -2

reversed:

-2 + 9 = 7

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3