8.AF.6 (part 1)

What is an ordered pair?

• A pair of numbers used to represent a point in a coordinate system, written as (x, y).

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

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

• A pair of letters used to denote a variable in algebra.

What is the rate of change in a linear equation?

• It represents the constant value of the dependent variable (y).

• It indicates how much the independent variable (x) changes for a unit change in the dependent variable (y).

• It represents how much the dependent variable (y) changes for a unit change in the independent variable (x).

• It is the value of the y-intercept in the equation y = mx + b.

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 the slope of a line represent?

• The slope of a line represents the steepness and direction of the line, indicating how much y changes for a unit change in x.

• The slope of a line represents the length of the line segment.

• The slope of a line indicates the color of the line on a graph.

• The slope of a line shows the distance between two points on the line.

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

• y = mx + b

• y = mx - b

• y = b - mx

• y = m + bx

How do you find the rate of change from two points?

• Use the formula: m = (y2 - y1) / (x2 - x1)

• Add the y-coordinates and divide by the sum of the x-coordinates

• Multiply the differences of the y-coordinates and x-coordinates

• Subtract the x-coordinates from the y-coordinates

What does it mean if a line is horizontal?

• A horizontal line has a slope of 1, indicating a steep incline.

• A horizontal line has a slope of 0, meaning there is no change in y as x changes.

• A horizontal line has a slope of -1, indicating a steep decline.

• A horizontal line has an undefined slope, indicating a vertical line.

How do you write an equation from a word problem?

• Identify the variables, determine the relationship between them, and express it mathematically.

• Write down the numbers mentioned in the problem without any relationships.

• Use only the first sentence of the problem to create an equation.

• Ignore the context and create a random equation.

What is the standard form of a linear equation?

• Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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

• Ax^2 + Bx + C = 0, which is the standard form of a quadratic equation.

• y = A sin(Bx + C), which is the standard form of a sinusoidal function.

How do you determine if a slope is positive or negative from a graph?

• If the line rises from left to right, the slope is positive.

• If the line is horizontal, the slope is negative.

• If the line falls from left to right, the slope is positive.

• If the line is vertical, the slope is undefined.