Westonci.ca offers fast, accurate answers to your questions. Join our community and get the insights you need now. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.
Sagot :
To determine which of the given points lies on the graph of the equation [tex]\( 8x + 2y = 24 \)[/tex], we need to check if each point satisfies the equation. We can do this by substituting the [tex]\( x \)[/tex] and [tex]\( y \)[/tex] values of each point into the equation and seeing if the equation holds true.
Let's evaluate each point one by one:
1. Point [tex]\((-1, 8)\)[/tex]:
[tex]\[ 8(-1) + 2(8) = -8 + 16 = 8 \neq 24 \][/tex]
The point [tex]\((-1, 8)\)[/tex] does not satisfy the equation.
2. Point [tex]\((2, 8)\)[/tex]:
[tex]\[ 8(2) + 2(8) = 16 + 16 = 32 \neq 24 \][/tex]
The point [tex]\((2, 8)\)[/tex] does not satisfy the equation.
3. Point [tex]\((6, -12)\)[/tex]:
[tex]\[ 8(6) + 2(-12) = 48 - 24 = 24 \][/tex]
The point [tex]\((6, -12)\)[/tex] satisfies the equation.
4. Point [tex]\((8, 2)\)[/tex]:
[tex]\[ 8(8) + 2(2) = 64 + 4 = 68 \neq 24 \][/tex]
The point [tex]\((8, 2)\)[/tex] does not satisfy the equation.
After evaluating all the points, we find that the point [tex]\((6, -12)\)[/tex] is the only one that satisfies the equation [tex]\( 8x + 2y = 24 \)[/tex]. Therefore, the point [tex]\((6, -12)\)[/tex] lies on the graph of the given equation.
Let's evaluate each point one by one:
1. Point [tex]\((-1, 8)\)[/tex]:
[tex]\[ 8(-1) + 2(8) = -8 + 16 = 8 \neq 24 \][/tex]
The point [tex]\((-1, 8)\)[/tex] does not satisfy the equation.
2. Point [tex]\((2, 8)\)[/tex]:
[tex]\[ 8(2) + 2(8) = 16 + 16 = 32 \neq 24 \][/tex]
The point [tex]\((2, 8)\)[/tex] does not satisfy the equation.
3. Point [tex]\((6, -12)\)[/tex]:
[tex]\[ 8(6) + 2(-12) = 48 - 24 = 24 \][/tex]
The point [tex]\((6, -12)\)[/tex] satisfies the equation.
4. Point [tex]\((8, 2)\)[/tex]:
[tex]\[ 8(8) + 2(2) = 64 + 4 = 68 \neq 24 \][/tex]
The point [tex]\((8, 2)\)[/tex] does not satisfy the equation.
After evaluating all the points, we find that the point [tex]\((6, -12)\)[/tex] is the only one that satisfies the equation [tex]\( 8x + 2y = 24 \)[/tex]. Therefore, the point [tex]\((6, -12)\)[/tex] lies on the graph of the given equation.
Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.