document.write( "Question 515258: find the equation in the form of y=mx+b through (2,2) perpendicular to y=3x+4 \n" ); document.write( "
Algebra.Com's Answer #343880 by Maths68(1474)\"\" \"About 
You can put this solution on YOUR website!
Given
\n" ); document.write( "Point (x, y)=(2,2)
\n" ); document.write( "Line:
\n" ); document.write( "y=3x+4
\n" ); document.write( "Compare above equation with the equation of line slope-intercept form
\n" ); document.write( "y=mx+b
\n" ); document.write( "y=(3)x+4\r
\n" ); document.write( "\n" ); document.write( "m=3 and b=4
\n" ); document.write( "Slope of the given line m = 3 and y-intercept = b = 4\r
\n" ); document.write( "\n" ); document.write( "Since required line is perpendicular, the multiplication of the slopes of both lines result in (-1), therefore the slope of the required line will be (-1/3)
\n" ); document.write( "================================================================
\n" ); document.write( "Now we have a point (2,2) and slope (-1/3) 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( "2=(-1/3)(2)+b
\n" ); document.write( "2=-2/3+b
\n" ); document.write( "2+2/3=b
\n" ); document.write( "6+2/3=b
\n" ); document.write( "8/3=b
\n" ); document.write( "b=8/3\r
\n" ); document.write( "\n" ); document.write( "y-intercept of the required line =b=8/3
\n" ); document.write( "================================================================
\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=(-1/3)x+8/3
\n" ); document.write( "Above equation is the required equation of the line in slope-intercept form.
\n" ); document.write( " \n" ); document.write( "
\n" );