Slope and Y-Intercept Practice

Front

What is the definition of slope?

Back

Slope is a measure of the steepness or incline of a line, typically represented as 'm' in the equation of a line (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

What does a zero slope indicate?

Back

A zero slope indicates a horizontal line where the y-value remains constant regardless of the x-value.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line where the x-value remains constant regardless of the y-value.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x is 0, represented by 'b' in the equation.

Front

How do you write the equation of a line given a slope and a y-intercept?

Back

The equation can be written in slope-intercept form as y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

If a line has a slope of 4, what does this mean in practical terms?

Back

It means that for every 1 unit increase in x, the y-value increases by 4 units.

Front

Write the equation for a situation where a person earns $10 per hour and starts with $50.

Back

y = 10x + 50.