5. (2,-3) and (0,-2)
Slope:

Use the slope formula:

m =

Let:

(x₁ , y₁) = (0 , -2)

(x₂ , y₂) = (2 , -3)

Plug in the corresponding numbers to the corresponding variables:

m =

Simplify. Note that if there are two negative signs directly next to each other, it becomes a positive sign:

m =

m =

Your slope is .

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there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1