Hmk 51GG - Interpreting Slope and Y-Intercept

Front

What is the meaning of slope in a graph?

Back

The slope represents the rate of change between two variables, indicating how much one variable changes for a unit change in another variable.

Front

How do you interpret a slope of 4 in a real-world context?

Back

A slope of 4 means that for every unit increase in the x-variable, the y-variable increases by 4 units.

Front

What does a positive slope indicate?

Back

A positive slope indicates that as the x-variable increases, the y-variable also increases.

Front

What does a negative slope indicate?

Back

A negative slope indicates that as the x-variable increases, the y-variable decreases.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x is 0.

Front

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

Back

The y-intercept represents the starting value of the dependent variable when the independent variable is zero.

Front

What does a slope of 2 cm of rainfall per hour mean?

Back

It means that for every hour, the rainfall increases by 2 cm.

Front

If a sloth runs 6 feet in 1 minute, what is the slope of the graph representing its speed?

Back

The slope is 6 feet per minute, indicating the speed of the sloth.

Front

What does a slope of $1 for every 2 miles driven mean?

Back

It means that for every 2 miles driven, the cost increases by $1.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates that there is no change in the y-variable as the x-variable changes; the line is horizontal.