# SOLUTION: Find the slope, if any, of this equation: {{{21-7x=18+x}}}

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 Click here to see ALL problems on Linear-equations Question 155668: Find the slope, if any, of this equation: Found 2 solutions by Alan3354, Adam:Answer by Alan3354(30993)   (Show Source): You can put this solution on YOUR website! = x = 3/8 ----------- Since there's no y term, it's a line thru (3/8,0) parallel to the y-axis. That is, x = 3/8 no matter what y is. It's vertical, so the slope is infinite. Answer by Adam(64)   (Show Source): You can put this solution on YOUR website!First we need to get it into standard form which is Ax+B=0 21-7x = 18+x //-x 21-8x = 18 //-18 3-8x = 0 //reorder -8x+3 = 0 //*(-1) (looks better ;} ) 8x-3 = 0 The equation of the form Ax+B=0 has slope A, what does B value does ? Well, as you see from the equation B adds constant value at every point, thus B moves the line upp or down (if B is negative), A rotates the line (every point is multiplied by that number) and by rotation alone we can increase or decrease slope. There is also alternative definition, so let's check it. Slope = f(x2) - f(x1) / x2 - 1 let x1 = 1 and x1 = 3 (x is independent variable so you can choose any value you want) ( f(x1) is left hand of our equation suplied with x1) {(8*3 - 3) - (8*1 - 3)} / (3 - 1) = 8 you can try it also for other values if you want ;} Cheers, Adam