Linear Equations and Properties Quiz

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10 Questions

What is the equation that is perpendicular to $y = x + 2$ and passes through the point (4, -1)?

$y = -x + 3$

What is the equation that is parallel to $y = 3x + 2$ and passes through the point (2, -4)?

$y = 3x - 4$

What is the equation that is parallel to $y = x + 4$ and passes through the point (2, 2)?

$y = x + 2$

What is the equation that is perpendicular to $y = -rac{2}{5}x + 3$ and passes through the point (2, -1)?

$y = -rac{5}{2}x + 8$

What is the equation that is perpendicular to $y = rac{9}{5}x - 4$ and passes through the point (-5, 5)?

$y = -rac{5}{9}x - rac{20}{9}$

What is the equation that is perpendicular to $y = x + 2$ and passes through the point (4, -1)?

The equation that is perpendicular to $y = x + 2$ and passes through the point (4, -1) is $y = -x + 3$.

What is the equation that is parallel to $y = 3x + 2$ and passes through the point (2, -4)?

The equation that is parallel to $y = 3x + 2$ and passes through the point (2, -4) is $y = 3x - 10$.

What is the equation that is parallel to $y = x + 4$ and passes through the point (2, 2)?

The equation that is parallel to $y = x + 4$ and passes through the point (2, 2) is $y = x + 2$.

What is the equation that is perpendicular to $y = -rac{2}{5}x + 3$ and passes through the point (2, -1)?

The equation that is perpendicular to $y = -rac{2}{5}x + 3$ and passes through the point (2, -1) is $y = 5x + 4$.

What is the equation that is parallel to $x = 0$ and passes through the point (4, 3)?

The equation that is parallel to $x = 0$ and passes through the point (4, 3) is $x = 4$.

Test your knowledge of linear equations and their properties with this quiz. Practice finding equations that are perpendicular or parallel to given lines and pass through specific points. Strengthen your understanding of slope, intercepts, and the relationships between different lines in the coordinate plane.

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