SOLUTION: write an equation in slope intercept form that satisfies each condition passes through (7,1) and (7,8)

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Question 1796: write an equation in slope intercept form that satisfies each condition passes through (7,1) and (7,8)
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
sorry, I am English...i guess you mean in the form y=mx%2Bc where m is the gradient(slope) and c is the y-intercept?
First thing...to find the gradient.
gradient, m is DEFINED as %28change_in_y%29%2F%28change_in_x%29 so,
m = %28y2+-+y1%29%2F%28x2+-+x1%29
Now, it DOES NOT matter which point is (x1,y1) and which is (x2,y2). You decide, but once you have decided, then stick to that in the question.
hence, i chose the following order, to give m+=+%288-1%29%2F%287-7%29. Working this out, gives an error, since the denominator is zero, producing an infinite result...basically, what this is saying is that no matter where you are on the line, x is always 7...that is the answer...x = 7.
So, this question...no maths required as such, just a bit of common sense, if you understand what the 2 sets of coordinates is telling you. What i have explained though here, is how to calculate the gradient in general.
Once you have the value for m, then use one of the sets of coordinates and the value of m and put these 3 values into the y=mx+c formula to find c.
Once done...check with the other set of coordinates that your equation is correct





cheers
Jon.