## Calculus 10th Edition

Published by Brooks Cole

# Chapter P - P.2 - Linear Models and Rates of Change - Exercises - Page 16: 35

#### Answer

Graph of $y=\frac{3}{2}x +\frac{1}{2}$

#### Work Step by Step

First we need to convert this point-slope form equation into standard form. Given: $y - 2=\frac{3}{2}(x-1)$ Distribute $\frac{3}{2}$ and then solve for y: $y =\frac{3}{2}x -\frac{3}{2} + 2$ Simplify: $y=\frac{3}{2}x +\frac{1}{2}$ From this plot the y intercept $y = \frac{1}{2}$ Then use the slope to plot the remaining points to sketch the graph

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