12. Determine the slope of the line having the equation 2x + y = 12 a. 2
b. -2
c. ½
d. -½

b. -2

Step-by-step explanation:

Note the slope-intercept form: y = mx + b

Note that:

y = (x , y)

m = slope

x = (x , y)

b = y-intercept

First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:

2x (-2x) + y = (-2x) + 12

y = -2x + 12

Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2

b. -2 is your answer.

~

b. -2

Step-by-step explanation:

2x+y=12

add -2x to both sides

y = -2x + 12

this is in slope intercept form y = mx + b

m meaning the slope

in this case the slope is -2

the answer will be b. -2