earthgurl123
Answered

Westonci.ca is the best place to get answers to your questions, provided by a community of experienced and knowledgeable experts. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

The points (2a, – 4a + 3), (2b - 3, b) lie on the graph of the equation
y = -3x - 2
What are the values of a and b?
11
A a
b = 1
10
5.
B) a = b=1
2'
11 1
c) a = b
10
5
5 1
D) a =
2 5

Sagot :

mhanifa

Answer:

  • a = -2.5, b = 1

Step-by-step explanation:

Given line:

  • y = -3x - 2

Points on the same line:

  • (2a, -4a + 3) and (2b - 3, b)

Substitute x and y values of both points into equation of the line and solve for a and b:

  • -4a + 3 = -3(2a) - 2 ⇒ -4a + 3 = -6a - 2 ⇒ 6a - 4a = -2 - 3 ⇒ 2a = -5 ⇒ a = -2.5
  • b = -3(2b - 3) - 2 ⇒ b = -6b + 9 - 2 ⇒ b+ 6b = 7 ⇒ 7b = 7 ⇒ b = 1

manissaha129

Answer:

The points (2a, – 4a + 3), (2b - 3, b) lie on the graph of the equation y = -3x - 2

Now,

By substituting x and y with the value of the points, we get

[tex] - 4a + 3 = - 3(2a) - 2 \\ - 4a + 3 = - 6a - 2 \\ 6a - 4a = - 3 - 2 \\ 2a = - 5 \\ a = \frac{( - 5)}{2} \\ \boxed{a = - 2.5}[/tex]

[tex] \\ b =- 3(2b - 3) - 2 \\ b = - 6b + 9 - 2 \\ b + 6b = 9 - 2 \\ 7b = 7 \\ b = \frac{7}{7} \\ \boxed{b = 1}[/tex]

Therefore,

  • The value of a is -2.5.
  • The value of b is 1.
We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Westonci.ca is here to provide the answers you seek. Return often for more expert solutions.