Answer:
The steps are are explained below.
Step-by-step explanation:
Given:
The equation of the line is given as:
![y-4=\frac{1}{3}(x+2)](https://tex.z-dn.net/?f=y-4%3D%5Cfrac%7B1%7D%7B3%7D%28x%2B2%29)
The above equation is in point-slope form
.
Therefore, on comparing, we get
![x_1=-2,y_1=4,m=\frac{1}{3}](https://tex.z-dn.net/?f=x_1%3D-2%2Cy_1%3D4%2Cm%3D%5Cfrac%7B1%7D%7B3%7D)
So, the slope is one-third and point is (-2,4).
Now, following are steps for plotting the graph:
i. Plot the point (-2,4).
ii. Since the slope is one-third, it means we need to move 3 units to right from the point (-2,4) and then 1 unit up. So, after translating 3 units right and 1 unit up we mark the second point which is
.
iii. Draw a line passing through the points (-2,4) and (1,5) to get the graph of the line
Thus, the graph is drawn below.