Understanding Linear Equations

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

• ax + by = c

• y = mx + b

• x = my + c

• ax - by = c

In the equation y = mx + b, what does 'm' represent?

• The slope

• The x-intercept

• The y-intercept

• The constant

How do you eliminate a constant from one side of an equation?

• Multiply the constant by both sides

• Subtract the constant from both sides

• Divide the constant by both sides

• Add the constant to both sides

What is the result of transposing a term in an equation?

• The term is divided by 2

• The term changes its sign

• The term is multiplied by 2

• The term remains unchanged

In the equation 3x + y = 4, what is the value of 'c' in the standard form?

• 1

• 3

• 0

• 4

What is the slope of the equation y = -2x + 3?

• -2

• 3

• -3

• 2

How do you isolate 'y' in the equation x + y = 4?

• Divide x by both sides

• Subtract x from both sides

• Add x to both sides

• Multiply x by both sides

What is the y-intercept of the equation y = 5/2x - 4?

• -4

• 5/2

• 4

• 2

In the equation 2x + y = 3, what is the slope when converted to slope-intercept form?

• -3

• 2

• -2

• 3

What is the standard form of the equation y = mx + b?

• ax + by = c

• y = mx + b

• x = my + c

• ax - by = c