Answer:
The slope of the line = m = -9/5
Step-by-step explanation:
Given the points
Determining the slope between (-2, 4) and (3, -5)
(x₁, y₁) = (-2, 4)
(x₂, y₂) = (3, -5)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [-5 - 4] / [3 - (-2)]
= [-9] / [3 + 2]
= -9/5
Thus, the slope of the line = m = -9/5
Answer:
Step-by-step explanation:
Answer:
a = 1 and b = - 10
Step-by-step explanation:
Expand the right side of the identity
x(ax² - 3x + b) - 3(ax² - 3x + b)
= ax³ - 3x² + bx - 3ax² + 9x - 3b
= ax³ - x²(3 + 3a) + x(b + 9) - 3b
Equate the coefficients of like terms on both sides of the identity
x³ terms → ax³ with x³ ⇒ a = 1
x terms → - x with (b + 9)x ⇒ b + 9 = - 1 ⇒ b = - 10
