Slope and y-intercept from tables

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented by 'm'. It is calculated as the change in y divided by the change in x (rise/run).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the equation y = mx + b.

Front

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

Back

To find the slope from a table, select two points (x1, y1) and (x2, y2) and use the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

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

Front

If a line has a slope of 0, what does that indicate?

Back

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

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

What is the significance of the slope being positive?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

How can you determine the y-intercept from a table?

Back

The y-intercept can be determined by finding the value of y when x = 0 in the table.

Front

What is the slope of the line represented by the points (2, 3) and (4, 7)?

Back

The slope m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

What is the y-intercept of the line represented by the equation y = 3x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.