Slope Intercept Form & Graphs

Front

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

Back

The slope-intercept form of a linear equation is given by 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 = 4x + 6?

Back

In the equation y = 4x + 6, the slope (m) is 4.

Front

What does the y-intercept represent in the equation y = -2x + 3?

Back

In the equation y = -2x + 3, the y-intercept (b) is 3, which means the line crosses the y-axis at the point (0, 3).

Front

How can you convert the equation y = x - 2 into slope-intercept form?

Back

The equation y = x - 2 is already in slope-intercept form, where the slope is 1 and the y-intercept is -2.

Front

What is the slope of the line represented by the equation y = -1/3 x + 5?

Back

The slope of the line represented by the equation y = -1/3 x + 5 is -1/3.

Front

How do you graph the equation y = 4x + 6?

Back

To graph the equation y = 4x + 6, start at the y-intercept (0, 6) and use the slope (4) to rise 4 units and run 1 unit to the right.

Front

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

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means the line rises, while a negative slope means it falls.

Front

How do you find the y-intercept from the equation y = -3x - 3?

Back

To find the y-intercept from the equation y = -3x - 3, set x to 0. The y-intercept is -3.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no change in y as x changes.

Front

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

Back

Two lines are parallel if they have the same slope. For example, y = 2x + 1 and y = 2x - 3 are parallel because both have a slope of 2.