Lines a and b are perpendicular. the slope of line a is −2. what is the slope of line b?

Step-by-step explanation:

I will call the slope of line , and the slope of line .

For two lines to be perpendicular, the following must be satisfied:

in this case we know:

so:

And clearing for the slope of line :

The slope of the line which is perpendicular to line is

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116