Slope-Intercept and Standard Form Review

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept from the equation 3x + y = 5?

Back

Set x = 0. The y-intercept is (0, 5).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

How do you find the x-intercept of the equation 4x - 5y = 40?

Back

Set y = 0. The x-intercept is (10, 0).

Front

How do you find the y-intercept of the equation 4x - 5y = 40?

Back

Set x = 0. The y-intercept is (0, -8).

Front

What is the meaning of the term 'intercept' in a graph?

Back

An intercept is a point where the line crosses the x-axis or y-axis.

Front

What is the slope of the line represented by the equation y = -0.5x + 5?

Back

The slope is -0.5.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If the slope is positive, the line is increasing; if negative, the line is decreasing.

Front

What does the term 'standard form' imply in linear equations?

Back

It implies that the equation is written as Ax + By = C, with A, B, and C being integers.