Graph y−5=−2/3(x+9) using the point and slope given in the equation.

use the line tool and select two points on the line.

There are several points you could use:

1. (0,-1)

2.(3,-3)

3. (6,-5)

4. (9,-7)

5.(-3,1)

(Just to name a few...)

Step-by-step explanation:

To check these, all you'd have to do is substitute each value in the coordinate. For example, to check if (9,-7) would satisfy the equation, you'd substitute 9 for x and -7 for y, as shown below:

(-7) - 5 = -2/3 (9 +9)

Next, you'd solve the equation. Since (-7) - 5 is basically the same as -7 + -5, or the opposite of 7+5 (which is 12), the answer for the left side would be -12.

Then, you would solve for the right. 9 + 9 is the same as 18. Using that knowledge, you could solve for the rest of the right side by multiplying -2/3 by 18, which is -12.

Since -12 = -12, we know that the coordinates (9,-7) satisfy the equation.

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!

the third picture

step-by-step explanation: