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 - Page 324: 12

Answer

$x$-intercept: $3$ $y$-intercept: $-21$

Work Step by Step

To find the $x$-intercept of an equation in standard form, we plug in $0$ for $y$, and solve for $x$. $7x-0=21$ We apply the identity property of addition: $7x=21$ We divide by $7$ on both sides of the equation: $x=\frac{21}{7}=3$ To find the $y$-intercept of an equation in standard form, we plug in $0$ for $x$, and solve for $y$. $7(0)-y=21$ We multiply: $0-y=21$ We apply the identity property of addition: $-y=21$ We divide by $-1$ on both sides of the equation: $y=-21$
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