Part 3: Linear Functions and Slope

Front

What is a linear function?

Back

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 and the direction it goes (positive or negative).

Front

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

Back

Front

What is the y-intercept of a linear function?

Back

Front

What does it mean for two triangles to be similar?

Back

Two triangles are similar if their corresponding angles are equal and their corresponding sides are proportional in length.

Front

Back

Front

Back

Front

What characterizes a proportional relationship in a graph?

Back

A proportional relationship is characterized by a straight line that passes through the origin (0,0) with a constant slope.

Front

What is the equation of a line that passes through the origin with a slope of 3?

Back

Front

What is the difference between a linear function and a quadratic function?

Back

A linear function graphs as a straight line, while a quadratic function graphs as a parabola (U-shaped curve).