When a situation can be modeled by a linear equation, what information do you need in order to find an equation?

any situation where one quantity changes steadily. All you need are two pairs of data relating the items

To find an equation representing a situation that can be modeled by a linear equation, you typically need two pieces of information:

1. The slope (m) of the line: The slope is a measure of how steep the line is and indicates the rate at which the dependent variable changes with respect to the independent variable. It represents the ratio of the vertical change (y) to the horizontal change (x) between any two points on the line.

2. The y-intercept (b) of the line: The y-intercept is the point on the y-axis where the line intersects. It gives the value of the dependent variable when the independent variable is zero. The y-intercept is also referred to as the initial value or the constant term in the linear equation.

Once you have these two pieces of information, you can construct the equation of the line using the slope-intercept form:

y = mx + b

where:
- y represents the dependent variable
- x represents the independent variable
- m represents the slope of the line
- b represents the y-intercept

By substituting the values of m and b into this equation, you can obtain the equation of the line that models the given situation.