Which of the following is the point and slope of the equation y - 15 = -2(x + 1)?

(-1, 15), -2

(-1, 15), 2

(1, 15), -2

(-1, -15), -2

The first option is the point-slope form for the given point.

Step-by-step explanation:

Step 1:

As we need to calculate the slope, m and coordinate we use the point-slope form to find m and the coordinate.

The point-slope form is ,

the given equation is .

Step 2:

By comparing both the equations, we determine the values of and m.

, so the y coordinate is 15.

, the x coordinate is; , so the x coordinate is -1.

By comparing, we get m = -2.

So the slope is m = -2 and the coordinates of the point is (-1, 15) which is the first option.

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'.

no one knows lol

step-by-step explanation: