document.write( "Question 530904: what is the equation of a line that is parallel to y=2x-3 and has a y-intercept of (0,6) \n" ); document.write( "

Algebra.Com's Answer #350247 by KMST(5396) $\"\"$ $\"About$

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First you have to figure out the slope of the line given, because parallel lines have the same slope.
\n" ); document.write( "The slope of the line
\n" ); document.write( " $\"y=2x-3\"$
\n" ); document.write( "is 2 because every time x increases by 1, y increases by 2, and for any other increase in x, y will increase by 2 times as much.
\n" ); document.write( "When a line is given in the form
\n" ); document.write( " $\"y=mx%2Bb\"$ with $\"m\"$ and $\"b\"$ being two numbers, positive or negative,
\n" ); document.write( "the number multiplying the x (in your case $\"m=2\"$ ) is the slope.
\n" ); document.write( "The y-intercept, some times called intercept, is the b number.
\n" ); document.write( "In the case of the given line, $\"b=-3\"$ , but that does not matter for the problem.
\n" ); document.write( "The intercept (y-intercept) is the point where the line intercepts the y-axis, which is the line $\"x=0\"$ .
\n" ); document.write( "The y-intercept point will be (x,b). (The x value will always be zero).
\n" ); document.write( "If you have the slope of a line ( $\"m\"$ )
\n" ); document.write( "and the y value for the intercept ( $\"b\"$ )
\n" ); document.write( "you can write the equation of the line as $\"y=mx%2Bb\"$ .
\n" ); document.write( "The parallel line you need has the same slope as the line given: $\"m=2\"$ .
\n" ); document.write( "The y-intercept point (0,6) has $\"y=6\"$ , so you use $\"b=6\"$
\n" ); document.write( "Your line is $\"y=2x%2B6\"$ \n" ); document.write( "

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