G9-MATH-L4 Linear Equations in Two Variables

What is the general form of a linear equation in two variables?

• ax + by + c = 0
• ax + by = c
• y = mx + b
• x² + y² = r²

Which of the following statements is true about a linear equation in two variables?

• It has a unique solution.
• It has no solutions.
• It has infinitely many solutions.
• It can only be graphed in three dimensions.

If a linear equation is represented as 3x + 4y - 12 = 0, what are the coefficients of x and y?

• 3 and 4
• 4 and 12
• 3 and -12
• 12 and 4

What does the graph of a linear equation in two variables represent?

• A single point
• A straight line
• A curve
• A circle

Which of the following pairs (x, y) is a solution to the equation 2x + 3y = 6?

• (0, 2)
• (1, 1)
• (2, 0)
• (3, -1)

What happens to the graph of a linear equation if the value of 'c' in ax + by + c = 0 is increased?

• The slope changes.
• The y-intercept changes.
• The x-intercept changes.
• The graph remains unchanged.

Which of the following is NOT a linear equation in two variables?

• 2x + 3y = 5
• x - y = 4
• x² + y = 1
• 3x + 2y = 0

If a linear equation has the form y = mx + b, what does 'm' represent?

• The y-intercept
• The slope
• The x-intercept
• The constant term

Which of the following points lies on the line represented by the equation y = 2x + 1?

• (0, 1)
• (1, 2)
• (2, 5)
• (3, 7)

What is the slope of the line represented by the equation 4x - 2y + 8 = 0?

• 2
• 4
• -2
• -4