A proportional relationship between two variables can be represented by a linear function = that y mx passes through the point (0, 0) and thus has a of 0. The variable results from being y-intercept y x multiplied by the rate of change or slope. m, The linear function = + represents a linear function that is a non-proportional additive y x b relationship. The variable results from the value being added to In this linear relationship, y b x. there is a y-intercept of and the constant rate of change or slope would be 1. In a linear function b, with a slope other than 1, there is a coefficient in front of the term, which represents the constant x rate of change, or slope. Proportional relationships and additive relationships between two quantities are special cases of linear functions that are discussed in grade seven mathematics.
A proportional relationship between two variables can be represented by a linear function y = mx that passes through the point (0, 0) and thus has a y-intercept of 0. The variable y results from x being multiplied by m, the rate of change or slope. The linear function y = x + b represents a linear function that is a non-proportional additive relationship. The variable y results from the value b being added to x. In this linear relationship, there is a y-intercept of b, and the constant rate of change or slope would be 1. In a linear function with a slope other than 1, there is a coefficient in front of the x term, which represents the constant rate of change, or slope. Proportional relationships and additive relationships between two quantities are special cases of linear functions that are discussed in grade seven mathematics.