document.write( "Question 389037: The line y = ax + 7 is parallel to the line y = 2x - 3. The line y = bx + 7 is perpendicular to the line y = 2x- 3.
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\n" ); document.write( "b) Calculate the perpendicular distance between the pair of parallel lines.\r
\n" ); document.write( "\n" ); document.write( "*Please solve this question and explain it in detail. Also explain your answers in as much detail as possible, especially part (b). Thanks :)* \n" ); document.write( "

Algebra.Com's Answer #275516 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "Hi,   
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document.write( "Note: the standard slope-intercept form for an equation of a line is 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( "a) State the value of a and of b.     
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document.write( "y = ax + 7 is parallel to the line y = 2x - 3  (lines have same slope)
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document.write( "    a = 2    y = 2x + 7
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document.write( "The line y = bx + 7 is perpendicular to the line y = 2x- 3.
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document.write( "Perpendicular lines have Slopes that are negative reciprocals of one another:
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document.write( "    b = -1/2    y = -.5x + 7
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document.write( "b) Calculate the perpendicular distance between the pair of parallel lines.
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document.write( "graphing 
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document.write( "y = 2x - 3 and y = 2x + 7 and the line perpendicular to both: y = -.5x + 7
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document.write( "Distance between Pt(0,7) and Pt(4,5)would be:
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