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Hi, I'm really struggling to solve this problem, I've looked and looked for help, and I can't seem to find anything... here's the problem:

The equation of the line passing through (1,11) and (4,5) can be expressed in the form

$$\frac{x}{a} + \frac{y}{b} = 1.$$
Find $$a$$.

Oct 23, 2020

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First find the equation of the line        slope = 6/-3 = -2

point slope form of the line

y-5 = -2(x-4)

y-5 = 8 - 2x

y+2x = 13      divide by 13

y /13  + x / (13/2) = 1

Oct 23, 2020
edited by ElectricPavlov  Oct 23, 2020