document.write( "Question 653290: 2. Find and equation of the line that passes through the given point and is parallel to the given line. Write the equation in slope-intercept form.
\n" ); document.write( "(2,5);y=4x-7\r
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Algebra.Com's Answer #408326 by Shana-D77(132)\"\" \"About 
You can put this solution on YOUR website!
When you're given a slope and a point, it's best to use the point-slope form of the equation. \"The\" equation means the linear (straight line) equation. The point slope form is:
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\n" ); document.write( "y = y1 = m(x - x1).
\n" ); document.write( "((side note: this is actually the slope formula, just rearranged.))
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\n" ); document.write( "But you have to be a detective on this problem! Slope is not told to you directly, we have to find it. Parallel lines have the SAME slope! In the equation they give you, y = 4x - 7, the slope is 4! So the slope you will use is 4.
\n" ); document.write( "So,
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\n" ); document.write( "slope (m) = 4
\n" ); document.write( " point (2, 5)
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\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "(the y and the x always stay as y and x in this form)
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\n" ); document.write( "Plug in what your teacher gave you. y1 = 5 and x1 = 2 (from (2, 5)), and slope (m) = 4
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\n" ); document.write( " y - 5 = 4(x - 2)
\n" ); document.write( "y - 5 = 4x - 8 (distributed the 4)
\n" ); document.write( "y = 4x - 3 (added 5 to both sides)
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