Answer :
To determine if the point [tex]\((-8, -4)\)[/tex] satisfies the equation [tex]\(y = 2x\)[/tex], we need to check if the coordinates of the point satisfy the equation.
1. Substitute the [tex]\(x\)[/tex] and [tex]\(y\)[/tex] coordinates of the point into the equation:
[tex]\[ y = 2x \][/tex]
2. For the point [tex]\((-8, -4)\)[/tex], [tex]\(x = -8\)[/tex] and [tex]\(y = -4\)[/tex]. Substitute these values into the equation:
[tex]\[ -4 = 2(-8) \][/tex]
3. Simplify the right side of the equation:
[tex]\[ -4 = -16 \][/tex]
4. Compare both sides of the equation:
[tex]\[ -4 \neq -16 \][/tex]
Since [tex]\(-4\)[/tex] is not equal to [tex]\(-16\)[/tex], the point [tex]\((-8, -4)\)[/tex] does not satisfy the equation [tex]\(y = 2x\)[/tex].
Therefore, the answer is:
No.
1. Substitute the [tex]\(x\)[/tex] and [tex]\(y\)[/tex] coordinates of the point into the equation:
[tex]\[ y = 2x \][/tex]
2. For the point [tex]\((-8, -4)\)[/tex], [tex]\(x = -8\)[/tex] and [tex]\(y = -4\)[/tex]. Substitute these values into the equation:
[tex]\[ -4 = 2(-8) \][/tex]
3. Simplify the right side of the equation:
[tex]\[ -4 = -16 \][/tex]
4. Compare both sides of the equation:
[tex]\[ -4 \neq -16 \][/tex]
Since [tex]\(-4\)[/tex] is not equal to [tex]\(-16\)[/tex], the point [tex]\((-8, -4)\)[/tex] does not satisfy the equation [tex]\(y = 2x\)[/tex].
Therefore, the answer is:
No.
