Algebra: Equations of Linear Functions

Front

What is the equation of a line in slope-intercept form?

Back

Front

How do you find the slope of a line given two points?

Back

Front

What does it mean for two lines to be perpendicular?

Back

Front

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

Back

Front

What is the y-intercept of a linear function?

Back

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its slope is positive (m > 0) and decreasing if its slope is negative (m < 0).

Front

What is a linear function?

Back

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-value increases, the y-value decreases, showing a downward trend.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change between two variables. For example, in a cost function, it indicates how much the cost increases per unit of time or quantity.

Front

How can you interpret the slope of a line of best fit in a scatter plot?

Back

The slope of the line of best fit indicates the direction and strength of the relationship between the two variables in the scatter plot.