Slope Intercept Form Review

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 from the equation y = mx + b?

Back

The slope (m) is the coefficient of x in the equation.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where the change in x is zero.

Front

How can you determine the y-intercept from the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0.

Front

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

Back

The slope of the line is -3.

Front

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

Back

The y-intercept of the line is -4.

Front

How do 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.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change between two variables in real-world applications.