write an equation in point slope form for the given line

Answer:
[tex]\large\boxed{y-4=-\dfrac{1}{2}(x-1)}[/tex]
Step-by-step explanation:
Look at the picture.
The formula of a slope:
The point-slope form of an equation of a linear function:
[tex]y-y_1=m(x-x_1)[/tex]
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (1, 4) and (-3, 6). Substitute:
[tex]m=\dfrac{6-4}{-3-1}=\dfrac{2}{-4}=-\dfrac{1}{2}\\\\y-4=-\dfrac{1}{2}(x-1)[/tex]