Linear Functions

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis. It is represented as the value of y when x = 0.

Front

Which equation represents the following graph? (Graph not shown)

Back

The equation of a line can be determined from its slope and y-intercept. For example, if the slope is 2 and the y-intercept is 3, the equation is y = 2x + 3.

Front

Find the slope between the two given points: (-2,1) and (5,7)

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1). For the points (-2,1) and (5,7), m = (7 - 1) / (5 - (-2)) = 6/7.

Front

Find the slope of the line given two points: (x1, y1) and (x2, y2)

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1). It represents the steepness of the line.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, as there is no change in y regardless of the change in x.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as the change in x is 0, leading to division by zero.

Front

How do you find the slope from a table of values?

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.