DLD Unit 2 review

Front

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

Back

The y-intercept is the point where the graph of a function intersects the y-axis, represented as (0, b) in the equation y = mx + b.

Front

How can you determine if a function is linear or nonlinear?

Back

A function is linear if it can be represented by a straight line on a graph, meaning it has a constant slope. Nonlinear functions do not have a constant slope and can form curves.

Front

What is the formula to calculate the slope of a line?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, resulting in a downward slant from left to right.

Front

What is a proportional relationship in mathematics?

Back

A proportional relationship is one where two quantities maintain a constant ratio, often represented by the equation y = kx, where k is a constant.

Front

How do you identify the slope from an equation in slope-intercept form?

Back

In the slope-intercept form y = mx + b, the slope is represented by the coefficient m.

Front

What does the equation y = 75x represent in terms of proportionality?

Back

The equation y = 75x represents a proportional relationship where y is directly proportional to x with a constant of proportionality of 75.

Front

How can you find the equation of a line given a slope and a point?

Back

You can use the point-slope form of the equation: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.

Front

What is the significance of the constant term in a linear equation?

Back

The constant term (b) in the equation y = mx + b represents the y-intercept, indicating where the line crosses the y-axis.

Front

How do you match an equation to a table of values?

Back

To match an equation to a table of values, substitute the x-values from the table into the equation and check if the resulting y-values match those in the table.