Interpreting Slope and Y-Intercept

Front

What does the slope of a graph represent?

Back

The slope represents the rate of change between two variables on the graph.

Front

How do you interpret a slope of 2 in a real-world context?

Back

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

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the value of y when x is 0, representing the starting point of the line on the y-axis.

Front

If a slope is negative, what does it indicate about the relationship between the variables?

Back

A negative slope indicates that as one variable increases, the other variable decreases.

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

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 slope of 0 indicate about a line?

Back

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

Front

What does a slope of 1 mean in a real-world scenario?

Back

It means that for every 1 unit increase in the x-variable, the y-variable also increases by 1 unit.

Front

If a line has a steep slope, what does that tell you about the relationship between the variables?

Back

A steep slope indicates a strong relationship, meaning a small change in x results in a large change in y.