Chapter 5 - Linear Functions - 5-4 Point-Slope Form - Practice and Problem-Solving Exercises - Page 317: 19

$y - 4 = 3/2 *(x-1)$ $y = 3x/2 + 5/2$

Given points are (1,4) and (-1, 1) $m = (4-1)/(1--1)$ $m = 3/2$ $y-y_{1} = m(x-x_{1})$ $y - 4 = 3/2 *(x-1)$ $y - 4 = 3/2 *(x-1)$ $y - 4 = 3/2*x - 3/2$ $y - 4 + 4 = 3/2*x - 3/2 + 4$ $y = 3x/2 + 5/2$