document.write( "Question 515259: find the equation in the form of y=mx+b through (3,-5) parallel to y=4x+3 \n" ); document.write( "
Algebra.Com's Answer #343878 by Maths68(1474)\"\" \"About 
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Given
\n" ); document.write( "Point (x, y)=(3,-5)
\n" ); document.write( "Line:
\n" ); document.write( "y=4x+3
\n" ); document.write( "Compare above equation with the equation of line slope-intercept form
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(4)x+3
\n" ); document.write( "m=4 and b=3
\n" ); document.write( "Slope of the given line m = 4 and y-intercept = b = 3\r
\n" ); document.write( "\n" ); document.write( "Since given line is parallel to the required line; slopes of the both line will be same.
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\n" ); document.write( "Now we have a point (3,-5)) and slope (4) of the required line we can easily find the required line put these values in the equation of slope-intercept form to find the y-intercept of the required line
\n" ); document.write( "y=mx+b
\n" ); document.write( "-5=(4)(3)+b
\n" ); document.write( "-5=12+b
\n" ); document.write( "-5-12=b
\n" ); document.write( "-17=b
\n" ); document.write( "b=-17
\n" ); document.write( "y-intercept of the required line =b=-17
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\n" ); document.write( "Put the values of ‘m’ and ‘b’ in equation of the line slope-intercept form
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(4)x+(-17)
\n" ); document.write( "y=4x-17
\n" ); document.write( "Above equation is the required equation of the line in slope-intercept form
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