Write an equation in a slope-intercept form for the line described. 1. slope -2, passes through (-4,6) 2. slope 1, passes through (2,5)

The slope-intercept form: y = mx + b

1. m = -2 → y = -2x + b

(-4, 6) → x = -4, y = 6, substitute:

6 = -2(-4) + b

6 = 8 + b |-8

b = -2

y = -2x - 2

2. m = 1 → y = 1x + b

(2, 5) → x = 2, y = 5, substitute:

5 = 1(2) + b |-2

b = 3

y = x + 3

A) 2y * (x³ + 9x − 5x² − 45)

B) 2y * (x² + 9) * (x -5)

Step-by-step explanation:

Given the expression:

2x³y + 18xy − 10x²y − 90y

A) The Greatest Common Factor (GFC) is 2y. Then, the expression can be rewritten as follows:

2y * (x³ + 9x − 5x² − 45)

B) Continue with the parenthesis term of the previous expression, we can split it into two groups:

x³ − 5x² = x² * (x -5)

9x − 45 = 9 * (x - 5)

Therefore,

2y * (x³ + 9x − 5x² − 45) =

= 2y * [x² * (x -5) + 9 * (x - 5)] =

= 2y * (x² + 9) * (x -5)