Module 2

Front

What is the parent linear function?

Back

The parent linear function is represented by the equation y = x, which is a straight line that passes through the origin with a slope of 1.

Front

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

Back

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

Front

How can you identify a linear graph?

Back

A linear graph is characterized by a straight line, indicating a constant rate of change.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

If the slope of a line is 3, what does this indicate about the line's steepness?

Back

A slope of 3 indicates that for every 1 unit increase in x, y increases by 3 units, making the line steep.

Front

What is the y-intercept in the equation y = 3x + 6?

Back

The y-intercept is 6, which is the point where the line crosses the y-axis.

Front

What happens to the graph of a linear function if the slope is greater than 1?

Back

If the slope is greater than 1, the graph is steeper.

Front

What is the equation of a line with a slope of 2 and a y-intercept of -4?

Back

The equation is y = 2x - 4.

Front

What does a negative slope indicate about a line?

Back

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

Front

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

Back

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