Which of the following represents the graph and y-intercept of the function 3x +y= -2

The y-intercept of the function is (0,-2). The graph passing though the points  (0,-2) and   .

Step-by-step explanation:

The given function is

Rewrite the above equation in slope intercept form.

So, the slope of the function is -3. It means the value of y decrease by 3 as the value of x increased by 1.

Substitute x=0 in the above equation, to find the y-intercept.

Therefore the y-intercept of the function is (0,-2).

Put y=0 in the given function to find the x-intercept.

Therefore the x-intercept of the function is .

Therefore the y-intercept of the function is (0,-2). The graph passing though the points  (0,-2) and   .

x

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.