Answer:
Explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (2,6) and (-1,3)
y2 = 3
y1 = 6
x2 = - 1
x1 = 2
Slope,m = (3 - 6)/(- 1 - 2) = - 3/- 3 = 1
To determine the equation, we would substitute x1 = 2, y1 = 6 and m= 1 into the point slope form equation. It becomes
y - 6 = x - 2