Question

Write an equation in point slope form for the given line

Answer 1

`\large\boxed{y-4=-(1)/(2)(x-1)}`

Explanation:

Look at the picture.

The formula of a slope:

The point-slope form of an equation of a linear function:

`y-y_1=m(x-x_1)`

`m=(y_2-y_1)/(x_2-x_1)`

We have two points (1, 4) and (-3, 6). Substitute:

`m=(6-4)/(-3-1)=(2)/(-4)=-(1)/(2)\\\\y-4=-(1)/(2)(x-1)`