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imhimanshu
What is the X intercept of non horizontal line m?

(1) The slope of m is 4 times the y intercept of m
(2) The y intercept of line m is -2.

I would like to see the graphical approach for Statement 1. I'm able to find the answer using algebraic approach, however graphical approach is giving me an incorrect answer.

Your help will be appreciated.

Thanks
imhimanshu

A graphical approach would be to assume the line passes through (0, y) and (x, 0). Where x & y are not equal to zero. Which means x & y are the X and Y intercepts respectively.
\(Slope = \frac{(y - 0)}{(0 - x)} = 4y\) => \(\frac{-y}{x} = 4y\)

Since x and y are not equal to 0, multiply each side by \(\frac{x}{4y}\)
\(x = \frac{-1}{4}\)

Notice we haven't assumed the sign of the intercepts and still we got just one value for the X intercept. Hence Stmt 1 is sufficient.
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