Unit 3 Catch Up

The constant of proportionality is the ratio of two variables that are directly proportional to each other, often represented as $$k = \frac{y}{x}$$ .

A linear equation in slope-intercept form is written as $$y = mx + b$$ , where $$m$$ is the slope and $$b$$ is the y-intercept.

The slope of a line represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.

The slope $$m$$ can be calculated using the formula $$m = \frac{y_2 - y_1}{x_2 - x_1}$$ , where (x1, y1) and (x2, y2) are two points on the line.

The slope of the line is 2.

A proportional relationship is a relationship between two quantities where their ratio is constant.

A relationship is proportional if the ratio of y to x is constant for all pairs of values in the table.

The y-intercept is 82, which is the value of y when x = 0.

A negative slope indicates that as the value of x increases, the value of y decreases.

The constant of proportionality is $$\frac{3}{2}$$ .