Equations of Lines

Front

What is the formula for the slope of a line?

Back

The formula for the slope (m) of a line passing through two points (x1, y1) and (x2, y2) is m = (y2 - y1) / (x2 - x1).

Front

Find the slope of the line that passes through the points (2, 4) and (6, 12).

Back

The slope is 2.

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in the equation of a line?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation y = mx + b.

Front

Find the y-intercept of the line represented by the equation y = 2x - 3.

Back

The y-intercept is -3.

Front

What does m represent in the formula y = mx + b?

Back

m represents the slope of the line.

Front

If a line has a slope of -5/4, what does this indicate about the line's direction?

Back

A slope of -5/4 indicates that the line is decreasing, moving downwards 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

If a line passes through the points (1, 2) and (3, 6), what is the slope?

Back

The slope is 2.