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

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 steep the line is and the direction it goes.

Front

How do you calculate the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the formula for 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

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The y-intercept can be found by identifying the value of y when x is 0 in the table.

Front

What does a slope of 1/2 mean in a real-world context?

Back

A slope of 1/2 means that for every 2 units you move horizontally, the line moves up 1 unit vertically.