document.write( "Question 164221: X Y
\n" ); document.write( "1 0.01
\n" ); document.write( "2 0.02
\n" ); document.write( "3 0.03
\n" ); document.write( "Have to find rate of change ,y intercept, and equation in intercept form!
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Algebra.Com's Answer #121013 by aka042(26) $\"\"$ $\"About$

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Let's start with determing the slope-intercept form. This equation follows the form y = mx+b, where m is the slope of the line and b is the y-intercept. To find the slope, we chose two y values and divide the difference by the two corresponding x values. The equation for the slope is $\"m+=+%28y2-y1%29%2F%28x2-x1%29\"$ . So let's choose y2 = .02 and y2= .01. The corresponding x values are x2 = 2 and x1 = 1. Therefore the slope is $\"+m+=+%28.02+-+.01%29%2F%282-1%29+=+%28.01%29%2F1+=+.01\"$ . So we now have the equation y = .01*x+b. To find b (the y-intercept), we put in an a value of y and x from the table and solve for b. Let's choose the first row, x = 1 and y =.01. Therefore $\".01+=+.01%2A%281%29+%2B+b\"$ , which means b = 0. Therefore our slope-intercept form is $\"+y+=+.01%2Ax\"$ .
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\n" ); document.write( "The rate of change is simply the slope, which is .01, and the y-intercept is b, which is 0. \n" ); document.write( "

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