Linear Equations

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

• y = 3x - 1

• y = 2x + 1

• y = 3x + 2

• y = 2x - 1

What is the slope-intercept form of a linear equation?

• y = mx + b, where m is the slope and b is the y-intercept

• y = ax^2 + bx + c, a quadratic equation

• y = mx + c, where c is the x-intercept

• y = m + b, where m is the y-intercept

What does 'm' represent in the equation y = mx + b?

• The y-intercept of the line.

• The slope of the line.

• The x-coordinate of the line.

• The distance from the origin.

How can you determine if two lines are parallel using their slopes?

• Two lines are parallel if they have the same slope.

• Two lines are parallel if they intersect at a right angle.

• Two lines are parallel if their slopes are negative reciprocals of each other.

• Two lines are parallel if they have different slopes.

If the slope of a line is negative, what does this indicate about the direction of the line?

• A negative slope indicates that the line descends from left to right.

• A negative slope indicates that the line ascends from left to right.

• A negative slope indicates that the line is horizontal.

• A negative slope indicates that the line is vertical.

What is the slope of a vertical line?

• 0

• 1

• undefined

• infinity

What does 'b' represent in the equation y = mx + b?

• The slope of the line

• The x-intercept of the line

• The y-intercept of the line

• The constant term in the equation

What is the y-intercept of the line represented by the equation y = 4x + 5?

• 3

• 4

• 5

• 6

What is the slope of the line that passes through the points (3, 7) and (3, 10)?

• 0

• 1

• undefined

• infinity

How do you calculate the slope (m) between two points (x1, y1) and (x2, y2)?

• m = (y2 - y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

• m = (y1 + y2) / (x1 + x2)

• m = (y2 + y1) / (x2 - x1)