document.write( "Question 507918: Find an equation of a line parallel to y=3 x+3 and passing through the point (5, 2) \n" ); document.write( "
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Find an equation of a line parallel to y=3 x+3 and passing through the point(5, 2)
\n" ); document.write( "Equation of the line slope-intercept form
\n" ); document.write( "y=mx+b\r
\n" ); document.write( "\n" ); document.write( "Given
\n" ); document.write( "Equation of the Given line
\n" ); document.write( "y=3x+3
\n" ); document.write( "Compare with the equation of line slope-intercept form
\n" ); document.write( "Slope of the given = m = 3
\n" ); document.write( "Since lines are parallel their slope will be same\r
\n" ); document.write( "\n" ); document.write( "Slope of the required line = m = 3
\n" ); document.write( "Point (5, 2)
\n" ); document.write( "We have a point and slope we can get easily the require line equation.\r
\n" ); document.write( "\n" ); document.write( "Use Equation of the line point-slope form
\n" ); document.write( "m = y2-y1/x2-x1
\n" ); document.write( "Put the values in above equation, we have
\n" ); document.write( "3=(y-2)/(x-5)
\n" ); document.write( "3(x-5)=(y-2)
\n" ); document.write( "3x-15=y-2
\n" ); document.write( "3x-y=-2+15
\n" ); document.write( "3x-y=13
\n" ); document.write( "-y=-3x+13
\n" ); document.write( "Multiply by -1 both sides of above equation
\n" ); document.write( "y=3x-13
\n" ); document.write( "Above equation is the equation of the required line\r
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