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 determine 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 a positive slope indicate about a graph?

Back

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

Front

What does a negative slope indicate about a graph?

Back

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

Front

What does a slope of zero mean in a linear equation?

Back

A slope of zero means the line is horizontal, indicating that y does not change as x changes.

Front

What does an undefined slope mean?

Back

An undefined slope occurs in a vertical line, where x does not change as y changes.

Front

How can you identify a strong positive correlation in a graph?

Back

A strong positive correlation is indicated by points that closely follow a straight line with a positive slope.

Front

How can you identify a strong negative correlation in a graph?

Back

A strong negative correlation is indicated by points that closely follow a straight line with a negative slope.

Front

What is the y-intercept in the equation y = 3x + 9?

Back

The y-intercept is 9, which is the value of y when x = 0.

Front

How do you convert a table of values into a linear equation?

Back

Identify two points from the table, calculate the slope, and use one point to solve for the y-intercept.