Algebra 1

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

Chapter 5 - Linear Functions - 5-5 Standard Form - Practice and Problem-Solving Exercises: 13

Answer

$x$-intercept: $\frac{3}{2}$ $y$-intercept: $-\frac{5}{2}$

Work Step by Step

To find the $x$-intercept of an equation in standard form, we plug in $0$ for $y$, and solve for $x$. $-5x+3(0)=-7.5$ We multiply: $-5x+0=-7.5$ We apply the identity property of addition: $-5x=-7.5$ We divide by $-5$ on both sides of the equation: $x=\frac{-7.5}{-5}=\frac{3}{2}$ To find the $y$-intercept of an equation in standard form, we plug in $0$ for $x$, and solve for $y$. $-5(0)+3y=-7.5$ We multiply: $0+3y=-7.5$ We apply the identity property of addition: $-3y=7.5$ We divide by $-3$ on both sides of the equation: $y=-\frac{7.5}{3}=-\frac{5}{2}$
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