Slope Intercept Form: Equations of Graphs

Front

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

Back

The slope-intercept form of a linear equation is given by the formula y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope in the equation y = mx + b?

Back

In the equation y = mx + b, the slope (m) represents the rate of change of y with respect to x. It indicates how steep the line is.

Front

What does the y-intercept represent in the slope-intercept form?

Back

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

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y to isolate it on one side of the equation.

Front

What is the significance of a positive slope?

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 the relationship between x and y?

Back

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

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope of the line is -2, indicating that for every unit increase in x, y decreases by 2 units.

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 to find another point.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that there is no change in y as x changes.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined, as it represents a division by zero in the slope formula (rise/run).