DA #3 REDO 8.4AB,8.5GHI,8.9A

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

A set of ordered pairs represents y as a function of x if no two pairs have the same x-value with different y-values.

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise over run).

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

Two triangles are similar if their corresponding angles are equal and the lengths of their corresponding sides are proportional.

The total cost can be calculated using the equation $$t = pm + c$$ , where p is the monthly payment, m is the number of months, and c is the initial cost.

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

To find the coordinates of a point on a line, substitute a value for x into the equation and solve for y.

In a taxi fare problem, the cost is typically a function of the distance traveled, often represented by a linear equation.

Ordered pairs (x, y) represent the relationship between the input x and the output y in a function.