Writing Equations of Lines

Front

What is the equation of a horizontal line?

Back

y = b, where b is the y-coordinate of any point on the line.

Front

What is the equation of a vertical line?

Back

x = a, where a is the x-coordinate of any point on the line.

Front

Define slope in the context of a line.

Back

Slope (m) is a measure of the steepness of a line, calculated as the change in y divided by the change in x (m = Δy/Δx).

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

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

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 (x=0).

Front

If a line has a slope of 0, what does it look like?

Back

A line with a slope of 0 is horizontal.

Front

If a line has an undefined slope, what does it look like?

Back

A line with an undefined slope is vertical.

Front

What is the slope of the line represented by the equation y = 4x + 2?

Back

The slope is 4.

Front

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

Back

The y-intercept is 5.