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3 years ago

What is the equation of the line shown below?

Mathematics

1 answer:

hoa [83]3 years ago

5 0

Answer:

The equation of line in SLOPE INTERCEPT is y = x -1

Step-by-step explanation:

Here, two points given on the line equation are

A(5,4) and B(-4,-5)

Now The slope of the line AB = $m = \frac{y_2 - y_1}{x_2 - x_1}$

or, $m = \frac{-5 -4}{-4 -5} = \frac{-9}{-9} = 1$

⇒ the slope of AB is m = 1

By SLOPE INTERCEPT FORMULA:

The equation of a line with slope m and a point (x0, y0) is given as

(y-y0)= m (x-x0)

⇒ The equation of line with point (5,4) is:

(y - 4) = (1) (x -5)

or, y - 4 = x - 5

⇒ y = x - 5 + 4

Now, SLOPE INTERCEPT FORM of a line equation is y = mx + c

⇒ y = x -1

Hence, the equation of line in SLOPE INTERCEPT is y = x -1

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4 years ago

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3 years ago

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katrin2010 [14]

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