What is the equation in point-slope form of the line passing through (2, 5) and (–1, 8)?
Gradient, m=\(\frac{change in y}{change in x}\)
m=\(\frac{8-5}{-1-2}\)
m=\(\frac{3}{-3}\)
m=-1
y=-x+c
Replacing for x and y using point (2, 5)
5=-(2)+c
5+2=c
c=7
y=-x+7
First, find the slope: = m=y2-y1/x2-x1
=8-5/2+1
3/3
=1
Use either point: (2,5)
Remember the form: y - y1 = m ( x - x1)
Substitute: y - 5 = 1 ( x - 2)
y - 5 = (x -2) Ans.