Question

Find the slope of the line joining the two given points A(0, 4), B(4, 0)

Answer 1

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$Slope \: of \: AB = \frac{y_2-y_1}{x_2-x_1}\\\therefore Points \:to \:be \:consider \\\implies A(0,4)\\\implies B(4,0)\\\ means \: , x_1 = 0 ,/: x_2 = 4 \\ y_1 = 4 ,\: y_2 = 0 \\\\ Now,slope\: of \: AB = \frac{0-(4)}{4-(0)}\\\implies \frac{-4}{4} \\\implies -1$

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$Slope \: of \: AB = -1$

Answer 2

Answer:

-1

Step-by-step explanation:

If the coordinates of two different points on the X-Y plane are known to be (x1, y1) and (x2, y2), then the slope of the straight line joining those two points will be given by $(\frac{y1-y2}{x1-x2} )$.

Now, the coordinates of point A(0,4) and point B(4,0) are given.

Therefore, the slope of the line joining A and B will be =$(\frac{4-0}{0-4}) =-1$ (Answer)