Flashcard: Writing Equations of Lines in Slope-Intercept Form

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

In the equation y = mx + b, 'm' represents the slope of the line, which indicates the steepness and direction of the line.

Front

What does 'b' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y = 2x + 5?

Back

The slope of the line represented by the equation y = 2x + 5 is 2.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; as x increases, y decreases.

Front

Write the equation of a line with a slope of 4 and a y-intercept of -2.

Back

The equation of the line is y = 4x - 2.

Front

What is the y-intercept of the line represented by the equation y = -5x + 10?

Back

The y-intercept of the line is 10.

Front

If the slope of a line is 0, what type of line does it represent?

Back

A slope of 0 represents a horizontal line.

Front

If the slope of a line is undefined, what type of line does it represent?

Back

An undefined slope represents a vertical line.