810 Acc. Interpreting Slope & Y-intercept

Front

What is the slope in a linear equation?

Back

The slope represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a unit change in x.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0. It represents the starting point of the line on the y-axis.

Front

How do you write an equation in slope-intercept form?

Back

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

Front

What does a positive slope indicate?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship between the two variables.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship between the two variables.

Front

What does a slope of zero mean?

Back

A slope of zero means that the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, indicating that x does not change while y changes.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept often represents a starting value or initial condition in real-world situations, such as initial costs or starting quantities.

Front

How do you interpret the slope in a real-world context?

Back

The slope can be interpreted as the rate of change or the cost per unit in real-world scenarios, such as cost per mile or cost per item.