Question

What is the equation of the line shown below?

Answer 1

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