The equation of the line in slope-intercept form is:
![y=-\frac{3}{7} x+3\\](/tpl/images/0698/6830/5b629.png)
In one of the many possible standard forms:
![3\,x+7\,y=21](/tpl/images/0698/6830/a9dd0.png)
Step-by-step explanation:
First calculate the slope of the segment that joins these two points: (0, 3) and (7,0):
![slope=\frac{y_2-y_1}{x_2-x_1}= \frac{0-3}{7-0}=-\frac{3}{7}](/tpl/images/0698/6830/94edb.png)
Now, knowing that the y-intercept is (0, 3) [point on the y-axis (for x=0) where the line crosses], Then the equation of the line in slope-intercept form is:
![y=m\,x+b\\y=-\frac{3}{7} x+3](/tpl/images/0698/6830/41501.png)
And now, if you want to write the equation eliminating fractions, we can multiply both sides by "7":
![y=-\frac{3}{7} x+3\\7\,y=-3\,x+21\\3\,x+7\,y=21](/tpl/images/0698/6830/d23d3.png)