document.write( "Question 397332: Find the intersection of the line through the points (7,10) and (4,2) with the line y=x. The point of intersection is (A,B) where A=? and B=? \n" ); document.write( "

Algebra.Com's Answer #281634 by ewatrrr(24785) $\"\"$ $\"About$

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document.write( "Hi
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document.write( "Using the point-slope formula,  to find slope
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document.write( "(7,10) and 
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document.write( " (4,2) m = 8/3, the slope of the line containg these points
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document.write( "Using the standard slope-intercept form for an equation of a line y = mx + b
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document.write( "  where m is the slope and b the y-intercept.  
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document.write( " y = (8/3)x + b  |using ordered pair Pt(4,2) to solve for b
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document.write( " 2 = 32/3 + b
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document.write( " -26/3 = b
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document.write( " y = (8/3)x -20/3
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document.write( " Pt(5,5) is the point of intersection of these lines according to the graph
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document.write( "CHECKING our Answer: 
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document.write( "x = (8/3)x -20/3, 3x = 8x - 20, 20 = 5x, x = 5 and y = 5  (y = x)
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