Chapter 4 Review

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 find the x-intercept of a linear equation?

Back

To find the x-intercept, set y = 0 in the equation and solve for x.

Front

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

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

Back

The slope (m) indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

How can you determine if a point is a y-intercept?

Back

A point is a y-intercept if its x-coordinate is 0, represented as (0, y).

Front

What is the x-intercept of the equation 3x + 8y = 24?

Back

The x-intercept is (8, 0).

Front

What does the equation y = 4 represent on a graph?

Back

The equation y = 4 represents a horizontal line that crosses the y-axis at 4.

Front

How do you identify the x-intercept from a graph?

Back

The x-intercept is found where the graph crosses the x-axis, where y = 0.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By = C, where A, B, and C are constants.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle it makes with the positive x-axis.