Slope All Ways

Front

What is the formula to calculate the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope of a line represent in a graph?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find the y-intercept of a linear equation in the form Ax + By = C?

Back

To find the y-intercept, set x = 0 and solve for y.

Front

How do you find the x-intercept of a linear equation in the form Ax + By = C?

Back

To find the x-intercept, set y = 0 and solve for x.

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

If a line has a slope of 2, what does this indicate about the relationship between x and y?

Back

For every 1 unit increase in x, y increases by 2 units.

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-coordinates are the same.

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

Two lines are perpendicular if the product of their slopes is -1.