Answer:
y - 5 = (-5)(x -2) is the required line equation.
The first blank = 5
Second blank = (-5)
Step-by-step explanation:
Here, the two points are given as A(2,5) and B (3,0).
SLOPE of a line with points (a,b) and (c,d) is given as
[tex]m = (\frac{d- b}{c-a})[/tex]
Now, here the Slope of line AB is given as [tex]m = (\frac{0- 5}{3-2}) = \frac{-5}{1} = - 5[/tex]
or, the slope of line AB = -5
by POINT SLOPE FORMULA:
The equation of line with point (x0,y0) and slope m is given as
y - y0 = m (x -x0)
So, here the point (2,5) and slope (-5), the equation of line is given as:
y - 5 = (-5)(x -2)
Now, comparing the above line equation with : y - __ = __ (x - 2)
We get : The first blank = (5)
Second blank = (-5)
