I need help. Why is Algebra 2 so hard ;--;

second and fifth

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m =

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (- 2, - 1) ← 2 points on the line

m = = - 5

Using (a, b) = (- 2, - 1 ), then

y - (- 1) = - 5(x - (- 2) ) , that is

y + 1 = - 5(x + 2) ← subtract 1 from both sides

y = - 5(x + 2) - 1  ← second option

Using (a, b) = (- 3, 4) , then

y - 4 = - 5(x - (- 3) ) , that is

y - 4 = - 5(x + 3) ← add 4 to both sides

y = - 5(x + 3) + 4 ← fifth option

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

what shape is