Slope-Intercept Review

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise (change in y) over the run (change in x). It is often represented as 'm' in the slope-intercept form of a linear equation.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as 'b' in the slope-intercept form of a linear equation (y = mx + b).

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in slope-intercept form (y = mx + b), identify the value of 'b'.

Front

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

Back

The slope-intercept form of a linear equation is y = mx + b, where 'm' is the slope and 'b' is the y-intercept.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert a point-slope equation (y - y1 = m(x - x1)) to slope-intercept form, solve for y to get it in the form y = mx + b.

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where their ratio is constant, often represented by a straight line through the origin on a graph.

Front

How can you identify a proportional relationship from a table?

Back

A proportional relationship can be identified from a table if the ratios of corresponding values are constant.

Front

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

Back

In real-world contexts, the slope can represent rates of change, such as speed, cost per item, or growth rates.