M8: Christmas Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the rise over run, or the change in y divided by the change in x.

Front

How do you find the y-intercept of a linear equation?

Back

The y-intercept of a linear equation is the point where the line crosses the y-axis. It can be found by setting x = 0 in the equation and solving for y.

Front

What happens to the coordinates of a point when it is reflected across the x-axis?

Back

When a point (x, y) is reflected across the x-axis, its y-coordinate changes sign, resulting in the new point (x, -y).

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a graph represents a function. If any vertical line intersects the graph at more than one point, the graph does not represent a function.

Front

What type of function is represented by a straight line?

Back

A linear function is represented by a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form Ax + By = C, where A, B, and C are constants.

Front

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

Back

The slope (m) between two points is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept indicates the value of y when x is zero. It represents the starting point of the line on the y-axis.

Front

What does it mean for a function to be linear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What is the general form of a linear function?

Back

The general form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.