Slope-Intercept Form

Front

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

Back

The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

Front

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

Back

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

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

How do you identify the slope from the equation y = 5x - 6?

Back

The slope is 5, which is the coefficient of x in the equation.

Front

How do you identify the y-intercept from the equation y = 5x - 6?

Back

The y-intercept is -6, which is the constant term in the equation.

Front

What does a positive slope indicate about a linear relationship?

Back

A positive slope indicates that as the value of x increases, the value of y also increases.

Front

What does a negative slope indicate about a linear relationship?

Back

A negative slope indicates that as the value of x increases, the value of y decreases.

Front

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

Back

The slope is 1, as it is the coefficient of x in the equation.

Front

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

Back

The y-intercept is 3, which is the constant term in the equation.

Front

In the equation y = (3/2)x + 3, what is the slope?

Back

The slope is 3/2.