Graphing Linear Equations and Transformations

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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).

Tags

CCSS.8.EE.B.5

Front

How do you find the slope from two points?

Back

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

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.

Tags

CCSS.8.EE.B.5

Front

How do you represent a horizontal shift in a function?

Back