document.write( "Question 459109: The x- and y-intercepts of the graph of g are 1 and 4, respectively. What is the linear equation satisfying the given condition. \n" ); document.write( "

Algebra.Com's Answer #314871 by oberobic(2304) $\"\"$ $\"About$

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y = mx + b
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\n" ); document.write( "When x=0, y = 4 (given)
\n" ); document.write( "(0,4)
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\n" ); document.write( "When y=0, x = 1 (given)
\n" ); document.write( "(1,0)
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\n" ); document.write( "Recall that the change in y divided by the change in x = slope.
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\n" ); document.write( "Change in y = 4-0 = 4
\n" ); document.write( "Change in x = 0-1 = -1
\n" ); document.write( "Slope = 4/-1 = -4
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\n" ); document.write( "The equation is thus:
\n" ); document.write( "y = -4x +4
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\n" ); document.write( "The graph is:
\n" ); document.write( " $\"graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C-4%2Ax%2B4%29\"$
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\n" ); document.write( "Notice that the y-intercept is (0,4), the x-intercept is (1,0), and the line goes through both points. \n" ); document.write( "

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