Plotted Solutions and the Graph of Two Variable Equations: CCSS.Math.Content.HSA-REI.D.10 - Common Core: High School - Algebra

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Question

Does the point $\left( -5 , 22 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 1 \cdot -5 + 27$

Since the values are equal, then the point $\left( -5 , 22 \right)$ exist on the line.

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Question

Does the point $\left( -9 , 3 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -24 \cdot -9 + 18$

Since the values are not equal, then the point $\left( -9 , 3 \right)$ does not exist on the line.

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Question

Does the point $\left( -11 , 60 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -2 \cdot -11 + 38$

Since the y values are equal, then the point $\left( -11 , 60 \right)$ exist on the line.

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Question

Does the point $\left( -45 , 16 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 9 \cdot -45 + 45$

Since the values are not equal, then the point $\left( -45 , 16 \right)$ does not exist on the line.

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Question

Does the point $\left( -27 , 44 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -1 \cdot -27 + 17$

Since the values are equal, then the point $\left( -27 , 44 \right)$ exist on the line.

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Question

Does the point $\left( -25 , 76 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 24 \cdot -25 + 37$

Since the values are not equal, then the point $\left( -25 , 76 \right)$ does not exist on the line.

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Question

Does the point $\left( -1 , 47 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -7 \cdot -1 + 40$

Since the values are equal, then the point $\left( -1 , 47 \right)$ exist on the line.

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Question

Does the point $\left( 3 , -16 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 10 \cdot 3 + 49$

Since the values are not equal, then the point $\left( 3 , -16 \right)$ does not exist on the line.

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Question

Does the point $\left( 0 , 32 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 17 \cdot 0 + 32$

Since the values are equal, then the point $\left( 0 , 32 \right)$ exist on the line.

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Question

Does the point $\left( -5 , 2 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 44 \cdot -5 + 40$

Since the values are not equal, then the point $\left( -5 , 2 \right)$ does not exist on the line.

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Question

Does the point $\left( -3 , 11 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = 11 \cdot -3 + 44$

Since the values are equal, then the point $\left( -3 , 11 \right)$ exist on the line.

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Question

Does the point $\left( 49 , 92 \right)$ exist on the line

Answer

To see if this point exists on the line, we need to plug in the $\uptext{x}$ value into the equation and see if it equals the $\uptext{y}$ value.

$y = -11 \cdot 49 + 37$

Since the values are not equal, then the point $\left( 49 , 92 \right)$ does not exist on the line.

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