Interpreting Slope and Y-Intercept

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.

Front

What is the y-intercept of a linear equation?

Back

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

Front

In the equation y = mx + b, what does 'm' represent?

Back

'm' represents the slope of the line.

Front

In the equation y = mx + b, what does 'b' represent?

Back

'b' represents the y-intercept of the line.

Front

If a line has a slope of 2, what does this mean in practical terms?

Back

It means that for every 1 unit increase in the x-value, the y-value increases by 2 units.

Front

How can you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

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

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal and there is no change in the y-value as the x-value changes.

Front

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

Back

The y-intercept often represents a starting value or initial condition in a real-world scenario.

Front

How can you interpret the slope in the context of a word problem?

Back

The slope can be interpreted as the rate of change or cost per unit in a real-world situation.