Answer :
To determine if the point [tex]\((4, 0)\)[/tex] satisfies the equation [tex]\(y = 2x - 4\)[/tex], follow these steps:
1. Identify the coordinates of the point: In this case, [tex]\(x = 4\)[/tex] and [tex]\(y = 0\)[/tex].
2. Substitute the value of [tex]\(x\)[/tex] into the equation [tex]\(y = 2x - 4\)[/tex]:
[tex]\[ y = 2(4) - 4 \][/tex]
3. Calculate the right-hand side of the equation:
[tex]\[ y = 8 - 4 \][/tex]
[tex]\[ y = 4 \][/tex]
4. Compare the calculated [tex]\(y\)[/tex] value with the given [tex]\(y\)[/tex] value of the point:
From the calculation, [tex]\(y = 4\)[/tex]. The given [tex]\(y\)[/tex] value of the point is 0. Therefore, [tex]\( 0 \neq 4\)[/tex].
Since the calculated [tex]\(y\)[/tex] value does not match the given [tex]\(y\)[/tex] value, the point [tex]\((4, 0)\)[/tex] does not satisfy the equation [tex]\(y = 2x - 4\)[/tex].
So the answer is:
- no
1. Identify the coordinates of the point: In this case, [tex]\(x = 4\)[/tex] and [tex]\(y = 0\)[/tex].
2. Substitute the value of [tex]\(x\)[/tex] into the equation [tex]\(y = 2x - 4\)[/tex]:
[tex]\[ y = 2(4) - 4 \][/tex]
3. Calculate the right-hand side of the equation:
[tex]\[ y = 8 - 4 \][/tex]
[tex]\[ y = 4 \][/tex]
4. Compare the calculated [tex]\(y\)[/tex] value with the given [tex]\(y\)[/tex] value of the point:
From the calculation, [tex]\(y = 4\)[/tex]. The given [tex]\(y\)[/tex] value of the point is 0. Therefore, [tex]\( 0 \neq 4\)[/tex].
Since the calculated [tex]\(y\)[/tex] value does not match the given [tex]\(y\)[/tex] value, the point [tex]\((4, 0)\)[/tex] does not satisfy the equation [tex]\(y = 2x - 4\)[/tex].
So the answer is:
- no
