Graphing Slope Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation 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 (m) 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) in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0, which is the point where the line crosses the y-axis.

Front

What does a positive slope indicate about a linear graph?

Back

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

Front

What does a negative slope indicate about a linear graph?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

If the slope of a line is 2, what does this mean in terms of movement on the graph?

Back

A slope of 2 means that for every 1 unit you move to the right (increase in x), you move up 2 units (increase in y).

Front

If the slope of a line is -1/2, how do you move on the graph?

Back

With a slope of -1/2, for every 2 units you move to the right (increase in x), you move down 1 unit (decrease in y).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is significant because it shows the starting point of the line on the y-axis when x = 0.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (b) on the y-axis, then use the slope (m) to determine the rise over run.

Front

What is the rise in the slope of a line?

Back

The rise is the vertical change between two points on the line, represented by the numerator of the slope.