We are given the following equation in the point-slope form.
![y-4=-2(x-1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/lblefi47heqlbelqnq6t7x1ainfgrbj19h.png)
Recall that the general form of the equation in point-slope form is given by
![y-y_1=m(x-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/csobd57zth7rh9k4hz9amldzpq2owf0z4j.png)
Comparing the given equation with the point-slope form, we have
m = -2
Point = (1, 4)
Recall that the slope is given by
![m=\frac{\text{rise}}{\text{run}}=(-2)/(1)](https://img.qammunity.org/2023/formulas/mathematics/college/bcgq6hx81titf65jy8cm5844rucqbfisqn.png)
Start at point (1, 4) then 2 units down and 1 unit to the right.
As you can see, we started at the point (1, 4) then sketched other points by going 2 units down and 1 unit to the right.