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anonymous
 4 years ago
Find the equation of a line containing the given point and having the given slope.
(2,8), m=5/4
y=___x+___
I'm having problems with the fractions themselves.
anonymous
 4 years ago
Find the equation of a line containing the given point and having the given slope. (2,8), m=5/4 y=___x+___ I'm having problems with the fractions themselves.

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Using the lineslope notation, we can say that \(\Large y = mx + c\). We have x, y and m, so can we work out c?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I was going more for the concept than the answer, 14yamaka.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[yy_1 = m(xx_1) \] if I remember from ALevels lol. So we have \[y8 = \frac{5}{4}(x2)\] \[y = \frac{5}{4}x +8 \frac{10}{4}\] \[y=\frac{5}{4}x +\frac{11}{2}\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Thanks, guys. Those pesky fractions. Looks like I am really going to have to brush up on my basics. :(

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0The derivation of the equation I quoted comes from the general fact that \[m = \frac{y_2y_1}{x_2x_1}\] which can be proved easily once one knows the definition of gradient (distance up divided by distance along). We let \[(x_2,y_2)\] be an arbitrary point, and in doing this we can find the gradient of ANY line via: \[m = \frac{yy_1}{xx_1}\] which we rearrange to get the equation I began my last answer to...
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