Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 5 - Linear Functions - 5-3 Slope-Intercept Form - Practice and Problem-Solving Exercises - Page 311: 55


slope=-9 y-intercept=-15

Work Step by Step

To find the slope and the y-intercept of the graph of the equation -2y=6(5-3x), we need to rewrite the equation in slope-intercept form, or y=mx+b form, where m represents the slope and b represents the y-intercept. To do this we first apply the distributive property which state that a(b-c)=ab-ac) to the right side of the equation, to get the equation -2y=(6)(5)-(6)(-3x) -2y=30+18x Then, to solve for y in terms of x, we divide both sides of the equation by -2 to get $\frac{-2y}{-2}$=$\frac{30+18x}{-2}$ y=-15-9x y=-9x-15 Therefore, m=-9 and b=-15
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