Question 1139063: Solve the co-ordinate of the mid-point of intersection of the line 2y +3x=16, 7y=2x+6, hence find the equation of the line through the points with gradient -3/4
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! i'm not exactly sure what they mean by the coordinate of the mid-ooint of the intersection of the line ... and ...
the intersection is a point.
there is no mid-point of a point.
so, what i did was find the equation of the line intersecting with the other two lines that had a slope of -3/4, slope meaning the same as gradient.
if this is not what is meant, then please provide me with what is meant.
the only other two things i can think of would be the midpoint of the y-intercept of the 2 lines, or the average of the slopes of the original lines, so the third line can have a slope halfway between them.
the equation of the line intersecting with the other two lines having a gradient of -3/4 was y = -3/4 * x + 8.
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