Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.2 Linear and Quadratic Functions - Exercises: 14

Answer

$y = x+5$

Work Step by Step

The line passes through the points (-1,4) and (2,7). We will use the formula: $\frac{Y_2 - Y_1}{X_2-X_1} = m$ Let's replace the values with point coordinates: $\frac{7 - 4}{2-(-1)} = m$ We now have the slope: $m = \frac{3}{3} = 1$ Now with a point and the slope we can use the formula: $y - Y_1 = m(x - X_1)$ Let's replace the values with the point and the slope: $y - 4 = 1 (x - (-1))$ $y = x + 1 + 4$ $y = x + 5$
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