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Fudgin [204]
3 years ago
6

Find the point at which the line joining the two points (-3,-5) and (7,5) cuts they y axis

Mathematics
1 answer:
8090 [49]3 years ago
4 0

Answer:

(0,-2)

Step-by-step explanation:

First we find the equation of the line passes through (-3,-5) and (7,5).

The slope of the line is

m=\frac{5-(-5)}{7-(-3)}\\=\frac{10}{10}\\=1

So by the point slope formula the equation of the line is

y-5=1(x-7)\\y=x-7+5\\y=x-2

When x=0 we have y=0-2=-2.

Therefore the line joining the two points cuts the y-axis at (0,-2).

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