Graphing Linear Equations

What is an ordered pair?

• A pair of numbers (x, y) that represent a point on a coordinate plane.

• A single number that represents a point on a number line.

• A set of three numbers that define a point in three-dimensional space.

• A pair of letters that represent a point in a graph.

What does it mean for two lines to be parallel?

• Two lines are parallel if they have the same slope and will never intersect.

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

• Two lines are parallel if they have different slopes.

• Two lines are parallel if they are both horizontal.

What is the y-intercept of a linear equation?

• The point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

• The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

• The slope of the line in the equation y = mx + b.

• The value of y when x is equal to 1 in the equation y = mx + b.

What does it mean for a line to be vertical?

• A vertical line has an undefined slope and runs parallel to the y-axis.

• A vertical line has a slope of zero and runs parallel to the x-axis.

• A vertical line has a defined slope and intersects the x-axis.

• A vertical line is always horizontal and runs parallel to the y-axis.

What does it mean for a line to be horizontal?

• A horizontal line has a slope of 0 and runs parallel to the x-axis.

• A horizontal line has a slope of 1 and runs parallel to the y-axis.

• A horizontal line has an undefined slope and intersects the y-axis.

• A horizontal line has a slope of -1 and runs diagonally across the graph.

What is the x-intercept of a linear equation?

• The point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

• The point where the line crosses the x-axis, represented as (a, 0) in the equation y = mx + b.

• The slope of the line in the equation y = mx + b.

• The point where the line intersects the origin, represented as (0, 0).

What is the origin in a coordinate plane?

• The point (1, 1) where the x-axis and y-axis intersect.

• The point (0, 0) where the x-axis and y-axis intersect.

• The point (0, 1) where the x-axis and y-axis intersect.

• The point (1, 0) where the x-axis and y-axis intersect.

What is the difference between the x-intercept and y-intercept?

• The x-intercept is where the line crosses the y-axis (x=0), while the y-intercept is where the line crosses the x-axis (y=0).

• The x-intercept is where the line crosses the x-axis (y=0), while the y-intercept is where the line crosses the y-axis (x=0).

• The x-intercept is the point where the slope of the line is zero, while the y-intercept is the point where the line is vertical.

• The x-intercept is always positive, while the y-intercept is always negative.

What does the equation y = mx + b represent?

• This is the slope-intercept form of a linear equation, where m is the slope and b is the y-intercept.

• This is the quadratic formula used to find the roots of a polynomial.

• This represents the equation of a circle in standard form.

• This is the formula for calculating the area of a triangle.

What is a linear equation?

• An equation that forms a straight line when graphed, typically in the form y = mx + b.

• An equation that represents a curve on a graph.

• An equation that has no solutions.

• An equation that only contains constants.