Simplify, using the distributive property and then combining like terms. 4(2x+y)-3(x+y)

Hello!

:

4(2x+y)-3(x+y)

Multiply everything inside the brackets by the number outside.

= 8x + 4y - 3x - 3y

Next, combine like terms.

= 8x - 3x + 4y - 3y

= 5x + y

5x + y

Step-by-step explanation:

4(2x + y) - 3(x + y) = 4*2x + 4y - 3x - 3y = 8x - 3x + 4y - 3y = 5x + y

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c