Slope All Ways

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line falls from left to right.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, where the x-values are constant and the y-values can vary.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0, indicating that the y-values remain constant as the x-values change.

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) from the table and use the slope formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

Front

How do you determine the slope from a linear equation in standard form Ax + By = C?

Back

To find the slope from the standard form Ax + By = C, rearrange the equation into slope-intercept form (y = mx + b) and identify 'm'.

Front

What is the slope of the line that passes through the points (3, 7) and (3, 10)?

Back

The slope is undefined because the x-values are the same, indicating a vertical line.

Front

If a line has a slope of -2, what does this tell you about the line's steepness?

Back

A slope of -2 indicates that for every 1 unit increase in x, the y-value decreases by 2 units, making the line relatively steep.