Slope and Y-intercept from a Table

Front

What is the y-intercept?

Back

The y-intercept is the value of y when x is 0 in a linear equation. It represents the point where the line crosses the y-axis.

Front

How do you find the y-intercept from a table of values?

Back

To find the y-intercept from a table, look for the row where x = 0. The corresponding y value is the y-intercept.

Front

What is the slope of a line?

Back

The slope of a line measures the steepness or incline of the line. It is calculated as the change in y divided by the change in x (rise/run).

Front

How do you calculate the slope from two points?

Back

To calculate the slope from two points (x1, y1) and (x2, y2), use the formula: slope = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate?

Back

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

Front

What does a negative slope indicate?

Back

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

Front

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

Back

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

Front

If the slope is 2, what does this mean in terms of rise and run?

Back

If the slope is 2, it means that for every 1 unit increase in x (run), y increases by 2 units (rise).

Front

What is the significance of the y-intercept in real-world scenarios?

Back

The y-intercept can represent the starting value of a situation in real-world scenarios, such as initial costs or starting points.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified on a graph as the point where the line crosses the y-axis.