document.write( "Question 112876This question is from textbook Beginning Algebra
\n" ); document.write( ": Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.\r
\n" ); document.write( "\n" ); document.write( "(-1, 3) and (4,-2)\r
\n" ); document.write( "\n" ); document.write( "Thanks alot, I am not not understanding the concept of slopes and intercepts fully yet. \n" ); document.write( "
Algebra.Com's Answer #82339 by ankor@dixie-net.com(22740)\"\" \"About 
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Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
\n" ); document.write( "(-1, 3) and (4,-2)
\n" ); document.write( ":
\n" ); document.write( "First find the slope using the slope (m) equation: m = \"%28%28y2-y1%29%29%2F%28%28x2-x1%29%29\"
\n" ); document.write( ":
\n" ); document.write( "In your problems we will assign the coordinates as follows:
\n" ); document.write( "x1 = -1; y1 = 3; x2 = 4; y2 =-2
\n" ); document.write( ":
\n" ); document.write( "Substitute these in the slope equation:
\n" ); document.write( "m = \"%28%28-2+-3%29%29%2F%28%284+-+%28-1%29%29%29\" = \"%28%28-2+-3%29%29%2F%28%284+%2B1%29%29\"; minus a minus = plus
\n" ); document.write( ":
\n" ); document.write( "m = \"%28-5%29%2F5\" = -1 is the slope
\n" ); document.write( ":
\n" ); document.write( "Next use the point/slope equation which is y - y1 - m(x - x1)
\n" ); document.write( "We know x1 y1 and m, substitute these in the equation\r
\n" ); document.write( "\n" ); document.write( "y - 3 = -1(x - (-1)
\n" ); document.write( "y - 3 = -1(x + 1)
\n" ); document.write( "y - 3= -x - 1
\n" ); document.write( "y = -x - 1 + 3
\n" ); document.write( "y = -x + 2 is the slope intercept form
\n" ); document.write( ":
\n" ); document.write( "You can confirm this by substituting the given values for x and see if the equal the give values for y
\n" ); document.write( ":
\n" ); document.write( "Note that the intercept (which is the y intercept) always occurs when x = 0
\n" ); document.write( "Therefore in this equation the y intercept is +2
\n" ); document.write( ":
\n" ); document.write( "The x intercept occurs when y = 0, use the equation to find that
\n" ); document.write( "-x + 2 = 0
\n" ); document.write( "-x = -2
\n" ); document.write( "x = +2; x has to positive, multiply equation -1 if necessary
\n" ); document.write( ":
\n" ); document.write( "If you graphed this, it's even more apparent.
\n" ); document.write( ":
\n" ); document.write( "\"+graph%28+300%2C+200%2C+-5%2C+5%2C+-10%2C+10%2C+-x%2B2%29+\"
\n" ); document.write( ":
\n" ); document.write( "How about this? Did it shed some light on this stuff \n" ); document.write( "
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