What are the slopes of these two ?

Step-by-step explanation:

3)

2x + 3y = 12

Solve for y. Then you have y = mx + b, and m is the slope.

3y = -2x + 12

y = -2/3 x + 12

slope = -2/3

6x - 4y = 8

-4y = -6x + 8

y = -6/(-4) x + 8/(-4)

y = 3/2 x - 2

slope = 3/2

Since the slopes -2/3 and 3/2 are opposite reciprocals, the lines are perpendicular.

4)

3x - 4y = 12

-4y = -3x + 12

y = -3/(-4) x + 12/(-4)

y = 3/4 x - 3

slope = 3/4

4x + 3y = 15

3y = -4x + 15

y = -4/3 x + 5

slope = -4/3

Since the slopes 3/4 and -4/3 are opposite reciprocals, the lines are perpendicular.

x is variable or an unknown value to find

example:

2x = 5 which means x = 3