Factor 9y^2-12y+4

(3y-2)^2
(3y-2)(3y+2)
(3y-4)(y+1)

(3y-2)^2

Step-by-step explanation:

To factor the polynomial, find the binomials which multiply to make it. This can be done for any polynomial by finding numbers that multiply to a*c and add to b.

a*c=36             b=-12

36: 1, 2, 3, 4, 6. 6. 9, 12, 18, 36

Since -6*-6 = 36 and -6 + -6 = -12, split -12y in   to  .

Next, factor by grouping by finding GCF between pairs of terms:

(3y-2)^2 is the solution.

(-1,-0.5)

step-by-step explanation:

b

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 = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

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

y + 5 = - 3(x - 3) → b