Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 3 - Section 3.5 - The Point-Slope Form of the Equation of a Line - Exercise Set: 27

Answer

y-4=8(x-0) y=8x+4

Work Step by Step

If the x-intercept is -$\frac{1}{2}$, then the line contains the point (-$\frac{1}{2}$,0). If the y-intercept, represented by the letter b, is 4, then the line contains the point (0,4). m=$\frac{y_2-y_1}{x_2-x_1}$ m=$\frac{4-0}{0+\frac{1}{2}}$ m=$\frac{4}{\frac{1}{2}}$ m=4(2) m=8 y-y$_1$=m(x-x$_1$) y-4=8(x-0) This is point slope form. y=mx+b y=8x+4
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