Linear Function Review

How can you find the slope 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)

What does an undefined slope indicate about a line?

• The line is horizontal, meaning y is constant and x can take any value.

• The line is vertical, meaning x is constant and y can take any value.

• The line has a positive slope, indicating a rise in y as x increases.

• The line has a negative slope, indicating a fall in y as x increases.

What is the significance of the slope in real-world applications?

• The slope represents the angle of a line in geometry.

• The slope can indicate rates of change, such as speed, cost per item, or growth rates in various contexts.

• The slope is only relevant in theoretical mathematics and has no real-world application.

• The slope is used to determine the area under a curve.

What does the slope of a line represent?

• The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x).

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

• The slope of a line represents the total distance covered by the line.

• The slope of a line shows the direction of the line in relation to the x-axis.

What is the y-intercept in the equation y = mx + b?

• The value of y when x is 0, represented by b

• The slope of the line represented by m

• The point where the line crosses the x-axis

• The maximum value of y in the equation

What is a linear function?

• A function that can be represented as a straight line in the Cartesian plane, with the form y = mx + b.

• A function that has a constant rate of change and can be represented as a curve.

• A function that can only take positive values and is represented as a parabola.

• A function that has no slope and is represented as a horizontal line.

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.

What does it mean if two lines are perpendicular?

• They intersect at a right angle and the product of their slopes is -1.

• They are parallel and never intersect.

• They intersect at an acute angle.

• They have the same slope.

How do you graph a linear equation?

• Identify the y-intercept, plot it on the graph, and use the slope to find another point. Draw a straight line through the points.

• Only plot the y-intercept and connect it to the origin.

• Use the quadratic formula to find points on the graph.

• Graph the equation by finding the x-intercept and drawing a curve.

What is the slope of the line represented by the equation y = 3x - 2?

• 1

• 2

• 3

• 4