You can put this solution on YOUR website! L has y-intercept (0,2)and is perpendicular to the line with equation 2x-3y=6.
I am assuming that you are being asked for the equation of L.
The slope intecept form of a line is , where m=slope and (0,b)=y-intercept.
First put 2x-3y=6 in slope intercept form:
The slope of this line is m=2/3, the slope of any line perpendicular to this line would be its negative reciprocal. (Fancy name meaning change the sign and flip the fraction over.) Therefore, the slope of any line perpendicular to this one would be: m=-3/2.
L has a slope, m=-3/2 and a y-intercept (0,b)=(0,2).
Plug those values into the slope intercept form of a line and you have:
y=mx+b
Happy Calculating!!!!
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