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 = [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
or, [tex]m = \frac{-5 -4}{-4 -5} = \frac{-9}{-9} = 1[/tex]
⇒ 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
