document.write( "Question 938693: 5.7 point-slope lab\r
\n" ); document.write( "\n" ); document.write( "5.)Find an equation of the line that passes through the two given points. Write the equation in slope-intercept form, if possible\r
\n" ); document.write( "\n" ); document.write( "passes through (1, 8) and (−2, −1)\r
\n" ); document.write( "\n" ); document.write( "6.)An automated production line uses distilled water at a rate of 300 gallons every 2 hours to make shampoo. After the line had run for 7 hours, planners noted that 2,500 gallons of distilled water remained in the storage tank. Write a linear equation relating the time t in hours since the production line began and the number of gallons g of distilled water in the storage tank. Write the equation in slope-intercept form.
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Algebra.Com's Answer #571977 by ankor@dixie-net.com(22740)\"\" \"About 
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5.)Find an equation of the line that passes through the two given points.
\n" ); document.write( " Write the equation in slope-intercept form, if possible
\n" ); document.write( "passes through (1, 8) and (−2, −1);
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\n" ); document.write( "The slope formula: m = \"%28y2-y1%29%2F%28x2-x1%29\", where:
\n" ); document.write( "x1=1 y1=8
\n" ); document.write( "x2=-2 y2=-1
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\n" ); document.write( "m = \"%28-1-8%29%2F%28-2-1%29\" = \"%28-9%29%2F%28-3%29\" = +3 is the slope
\n" ); document.write( "The slope intercept form y = mx + b
\n" ); document.write( "Use x1 and y1 to find b
\n" ); document.write( "8 = 3(1) + b
\n" ); document.write( "8 - 3 = b
\n" ); document.write( "5 = b
\n" ); document.write( "the equation
\n" ); document.write( "y = 3x + 5
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\n" ); document.write( "6.)An automated production line uses distilled water at a rate of 300 gallons every 2 hours to make shampoo.
\n" ); document.write( " 300/2 = 150 gal/hr, this is the slope
\n" ); document.write( " After the line had run for 7 hours, planners noted that 2,500 gallons of distilled water remained in the storage tank.
\n" ); document.write( " t = 7; g = 2500
\n" ); document.write( " Write a linear equation relating the time t in hours since the production line began and the number of gallons g of distilled water in the storage tank.
\n" ); document.write( " b = original amt of distilled water (t=0)
\n" ); document.write( " Write the equation in slope-intercept form. y = mx+b
\n" ); document.write( "2500 = -150(7) + b
\n" ); document.write( "2500 = -1050 + b
\n" ); document.write( "2500 + 1050 = b
\n" ); document.write( "b = 3550
\n" ); document.write( "the equation
\n" ); document.write( "g = -150t + 3550
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