Graphing Linear Equations and Transformations

Front

What is a linear equation?

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 from two points?

Back

Front

What is the y-intercept of a linear equation?

Back

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line goes downwards from left to right.

Front

What is a transformation in graphing?

Back

A transformation refers to a change in the position, size, or shape of a graph. Common transformations include translations, reflections, stretches, and compressions.

Front

How does a vertical shift affect the graph of a function?

Back

Front

What is the effect of changing the slope of a line?

Back

Changing the slope affects the steepness of the line. A larger absolute value of the slope means a steeper line, while a smaller absolute value means a flatter line.

Front

What does it mean for a line to be steeper?

Back

A line is steeper if it has a larger absolute value of slope. For example, a slope of -3 is steeper than a slope of -1.

Front

How do you represent a horizontal shift in a function?

Back