Answer:
y - 4 = -2(x - 6) or y - 2 = -2(x - 7)
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
m - slope
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have the points (6, 4) and (7, 2). Substitute:
[tex]m=\dfrac{2-4}{7-6}=\dfrac{-2}{1}=-2[/tex]
Using the first point
[tex]y-4=-2(x-6)[/tex]
Using the second point
[tex]y-2=-2(x-7)[/tex]
