Math 8 - slope, Indep/Dep var, & Writing y = mx + b

Front

What is the definition of slope?

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x.

Front

What is the formula for calculating slope?

Back

Front

What does the x-axis represent in a graph?

Back

The x-axis represents the independent variable.

Front

What does the y-axis represent in a graph?

Back

The y-axis represents the dependent variable.

Front

How do you find the rate of change between two points?

Back

The rate of change can be found using the formula: change in y over change in x, or rise over run.

Front

If a line has a slope of -3, what does this indicate about the line?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units, showing a steep downward trend.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis.

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

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.