Flashcard 13

Front

What is the equation for the total cost (C) of towing a vehicle for m miles if the service center charges a flat fee of $50 plus $8 per mile?

Back

C = 8m + 50

Front

How do you calculate the slope between two points (-3, 8) and (10, 4)?

Back

Slope = (y2 - y1) / (x2 - x1) = (4 - 8) / (10 - (-3)) = -4/13

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the 'm' represent in the slope-intercept form (y = mx + b)?

Back

The slope (rate of change) of the line.

Front

What is the rule for a reflection across the line y = x?

Back

(x, y) becomes (y, x).

Front

If a line has a slope of -4/13, what does this indicate about the line's direction?

Back

The line is decreasing as it moves from left to right.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3.

Front

How do you find the x-intercept of the equation y = 2x + 3?

Back

Set y = 0 and solve for x: 0 = 2x + 3, x = -3/2.

Front

What is the meaning of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates a horizontal line.