CAN SOMEONE PLEASE HELP ME WITH MY MATH CLASS PLEASEEE

y - 1 = -1(x-2)

Step-by-step explanation:

The point slope form formula says that y- b = m(x -a)  where b is one of the y coordinates and  a is the x coordinate to it.

so since we give two point in this care we need to find the slope to write the equation.

(2,1)  

(-2,5)  

To find the slope using these points you need to find the change in the y coordinates and divide it by the change in the x coordinates.

1 - 5 = -4

2-(-2) = 4

-4 / 4 = -1  

Now we that the slope is -1 and it says when writing the equation we will have to use the first point.

so y - 1 = -1(x -2)  

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15