Slope Intercept Form

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) is the coefficient of x.

Front

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

Back

The y-intercept (b) represents the point where the line crosses the y-axis.

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 slope of the line represented by the equation y = -3x - 3?

Back

The slope of the line is -3.

Front

What is the y-intercept of the line represented by the equation y = 4x + 3?

Back

The y-intercept of the line is 3.

Front

How do you graph a line given its slope and y-intercept?

Back

To graph a line given its slope (m) and y-intercept (b), start at the y-intercept on the y-axis, then use the slope to determine the rise over run to find another point.

Front

What is the significance of a positive slope in a linear equation?

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

How can you determine if two lines are parallel using their equations?

Back

Two lines are parallel if they have the same slope (m) but different y-intercepts (b).