3-4 Flashcard - Equations of Lines

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 the slope of a line represent?

Back

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

Front

What is a y-intercept?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Identify the slope in the equation y = 3x + 4.

Back

The slope is 3.

Front

Identify the y-intercept in the equation y = -2x + 5.

Back

The y-intercept is 5.

Front

What is the equation of a line with a slope of 4 and a y-intercept of -1?

Back

The equation is y = 4x - 1.

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a horizontal line?

Back

The equation of a horizontal line is y = b, where b is a constant.

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is x = a, where a is a constant.

Front

Given a slope of -3 and a y-intercept of 2, identify the correct equation of a line.

Back

The equation is y = -3x + 2.