Question

Write an equation in point slope form for the given line

Answer 1

Answer:

$\large\boxed{y-4=-\dfrac{1}{2}(x-1)}$

Step-by-step explanation:

Look at the picture.

The formula of a slope:

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

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

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

$m=\dfrac{6-4}{-3-1}=\dfrac{2}{-4}=-\dfrac{1}{2}\\\\y-4=-\dfrac{1}{2}(x-1)$