Interpreting Slope and Y-intercept

Front

What does the slope in a linear equation represent?

Back

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

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, the value of y when x = 0.

Front

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

Back

The slope indicates how much the dependent variable changes for each unit increase in the independent variable.

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope is 2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

If a line has a negative slope, what does that indicate about the relationship between x and y?

Back

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

Front

What does the y-intercept tell you in a real-world scenario?

Back

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

Front

In the equation y = 3x + 10, what does the slope of 3 mean?

Back

It means that for every additional unit increase in x, y increases by 3.

Front

How can you find the slope from two points on a line?

Back

The slope can be calculated using the formula (y2 - y1) / (x2 - x1).