Linear Functions

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Front

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

Back

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

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

Find the equation of a line with a slope of -3 that passes through the point (1, -2).

Back

y = -3x - 2.

Front

What is the slope of the line represented by the equation y = 3x + 4?

Back

The slope is 3.

Front

What is the rate of change of the line that passes through points (0, 2) and (2, 6)?

Back

The rate of change is 2.

Front

Which graph represents the equation y = 2x + 2?

Back

The graph is a straight line with a slope of 2 and a y-intercept of 2.

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-intercept.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.