Graphing in Slope-Intercept Form Flashcardizz

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

What does the slope (m) represent in a linear equation?

Back

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

Front

How do you find the y-intercept (b) from the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, which is represented by the constant term b.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant.

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

In the equation y = -2x + 5, what is the y-intercept?

Back

The y-intercept is (0, 5).

Front

What type of graph does a linear equation produce?

Back

A linear equation produces a straight line graph.