Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 7 - Algebra: Graphs, Functions, and Linear Systems - Chapter 7 Test - Page 484: 6

Answer

See below:

Work Step by Step

In the provided expression, find the values of x-intercept, and y-intercept. Step I:Put the value of\[x=0\], and find the value of ‘y’ in above expression. \[\begin{align} & 4x-2y=-8 \\ & 4\times 0-2y=-8 \\ & -2y=-8 \\ & y=4 \end{align}\] Therefore y-intercept is 4 units. Step II: Put the value of\[y=0\], and find the value of ‘x’ in above expression. \[\begin{align} & 4x-2y=-8 \\ & 4x-2\times 0=-8 \\ & 4x=-8 \\ & x=-2 \end{align}\] Therefore x-intercept is 2 units in the negative x-axis. Step III:To plot the graph of a function, two coordinates will be\[\left( -2,0 \right)\]and\[\left( 0,4 \right)\]. And the graph is shown above.
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