Segment PQ has a midpoint of E. If PE=4x-3 and 6x+2, what is the value of x ?
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In the slope intercept form equation of a line (y=ax+b) a represents the slope, and b represents the intercept, which is -5. Thus, we know y=ax-5. The slope can be found by creating a fraction with the change in y value on top, and the change of x value on the bottom. If we have two points (4, 1) and (0, -5) we can put this into a fraction - 
, which simplifies down to -6/-4, or 3/2. Thus the answer is f(x)=
x-5<span />