Answered

IDNLearn.com provides a user-friendly platform for finding answers to your questions. Ask anything and get well-informed, reliable answers from our knowledgeable community members.

The line [tex][tex]$y = -2x - 8$[/tex][/tex] is graphed. Which ordered pairs are solutions to the equation? Check all that apply.

A. [tex][tex]$(-8, 8)$[/tex][/tex]
B. [tex][tex]$(-6, 2)$[/tex][/tex]
C. [tex][tex]$(-2, 4)$[/tex][/tex]
D. [tex][tex]$(0, -4)$[/tex][/tex]
E. [tex][tex]$(4, -12)$[/tex][/tex]

Sagot :

GinnyAnsweridn
To determine which ordered pairs are solutions to the equation [tex]\( y = -2x - 8 \)[/tex], we need to check each given ordered pair to see if it satisfies the equation. Let's evaluate each pair one by one.

1. Checking the pair [tex]\((-8, 8)\)[/tex]:
Substitute [tex]\( x = -8 \)[/tex] into the equation:
[tex]\[ y = -2(-8) - 8 = 16 - 8 = 8 \][/tex]
The resulting [tex]\( y \)[/tex] value is 8, which matches the [tex]\( y \)[/tex] coordinate of the pair [tex]\((-8, 8)\)[/tex]. So, [tex]\((-8, 8)\)[/tex] is a solution of the equation.

2. Checking the pair [tex]\((-6, 2)\)[/tex]:
Substitute [tex]\( x = -6 \)[/tex] into the equation:
[tex]\[ y = -2(-6) - 8 = 12 - 8 = 4 \][/tex]
The resulting [tex]\( y \)[/tex] value is 4, which does not match the [tex]\( y \)[/tex] coordinate of the pair [tex]\((-6, 2)\)[/tex]. So, [tex]\((-6, 2)\)[/tex] is not a solution of the equation.

3. Checking the pair [tex]\((-2, 4)\)[/tex]:
Substitute [tex]\( x = -2 \)[/tex] into the equation:
[tex]\[ y = -2(-2) - 8 = 4 - 8 = -4 \][/tex]
The resulting [tex]\( y \)[/tex] value is -4, which does not match the [tex]\( y \)[/tex] coordinate of the pair [tex]\((-2, 4)\)[/tex]. So, [tex]\((-2, 4)\)[/tex] is not a solution of the equation.

4. Checking the pair [tex]\((0, -4)\)[/tex]:
Substitute [tex]\( x = 0 \)[/tex] into the equation:
[tex]\[ y = -2(0) - 8 = 0 - 8 = -8 \][/tex]
The resulting [tex]\( y \)[/tex] value is -8, which does not match the [tex]\( y \)[/tex] coordinate of the pair [tex]\((0, -4)\)[/tex]. So, [tex]\((0, -4)\)[/tex] is not a solution of the equation.

5. Checking the pair [tex]\((4, -12)\)[/tex]:
Substitute [tex]\( x = 4 \)[/tex] into the equation:
[tex]\[ y = -2(4) - 8 = -8 - 8 = -16 \][/tex]
The resulting [tex]\( y \)[/tex] value is -16, which does not match the [tex]\( y \)[/tex] coordinate of the pair [tex]\((4, -12)\)[/tex]. So, [tex]\((4, -12)\)[/tex] is not a solution of the equation.

After checking all the pairs, the only ordered pair that satisfies the equation [tex]\( y = -2x - 8 \)[/tex] is [tex]\((-8, 8)\)[/tex].

Thus, the ordered pair that is a solution to the equation is:
[tex]\[ (-8, 8) \][/tex]
Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Find clear and concise answers at IDNLearn.com. Thanks for stopping by, and come back for more dependable solutions.