Linear Functions Tutors

Linear Functions Tutors A linear functions is a function in which one variable is related to another variable in a linear way. This implies that the variables are written in the form of a linear equation where the highest exponent of the variable is equal to 1. Linear functions are very commonly used in math, and in a linear function the dependent variable and the independent variable are related in such a way that they have a constant rate of change (slope). Linear functions form straight lines when graphed on a coordinate plane. Example 1: Write the linear function which has slope equal to 2 and satisfies the point (2, 1). Given: rate of change = slope = m = 2 Point = (2, 1) Point slope form of a line== (y y1) = m(x x1) Therefore we get: (y 1) = 1(x 2) This gives: y 1 = x 2 Simplifying the equation we get: y = x 2 + 1 == y = x - 1 Hence we get the linear function as y = x 1. Example 2: Write the linear function which has slope equal to 3 and satisfies the point (3, -2). Given: rate of change = slope = m = 3 Point = (3, -2) Point slope form of a line== (y y1) = m(x x1) Therefore we get: (y + 2) = 3(x 3) This gives: y + 2 = 3x 9 Simplifying the equation we get: y = 3x 9 - 2 == y = 3x - 11 Hence we get the linear function as y = 3x 11.