Slope-intercept from a table

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope from a table of values?

Back

The slope (m) can be calculated by taking the difference in y-values divided by the difference in x-values between two points: m = (y2 - y1) / (x2 - x1).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how much y changes for a unit change in x.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept (b) is the value of y when x = 0; it is the point where the line crosses the y-axis.

Front

If a table shows the values (1, 4) and (3, 10), what is the slope?

Back

The slope is (10 - 4) / (3 - 1) = 6 / 2 = 3.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases, showing a direct relationship.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

Front

How can you determine if a graph has no correlation?

Back

If the points on the graph are scattered without any discernible pattern, it indicates no correlation.

Front

What does a strong positive correlation look like on a graph?

Back

A strong positive correlation appears as a steep upward slope, with points closely clustered around a straight line.

Front

What does a strong negative correlation look like on a graph?

Back

A strong negative correlation appears as a steep downward slope, with points closely clustered around a straight line.