FLASHCARD 4.4-4.6 Writing Equations of lines

Front

What is the slope of a line that is perpendicular to y = -2x - 4?

Back

The slope of a line that is perpendicular to y = -2x - 4 is 1/2.

Front

What is the equation of a vertical line that passes through x = 3?

Back

The equation of the vertical line is x = 3.

Front

If Easy Car Rental charges $8.50 an hour plus a rental fee of $25.50, what is the equation for total charges for x hours?

Back

The equation is y = 25.5 + 8.5x.

Front

What is the slope-intercept form of the equation for a line with a slope of 1/4 and a y-intercept of 2?

Back

The equation is y = 1/4x + 2.

Front

What does the equation y = -30x + 100 represent in a real-world context?

Back

It represents a man descending from 100 feet at a rate of 30 feet per minute.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the definition of slope in the context of a linear equation?

Back

Slope is the measure of the steepness of a line, represented as the ratio of the rise (change in y) over the run (change in x).

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

The y-intercept is 4.