Alright, let's break this down step by step.
Firstly, the concepts you need to understand are the x-intercept and the y-intercept. These are the points where the function crosses the x-axis or the y-axis, respectively. For the x-intercept, this is where the function equals 0 in the y-value. On the other hand, the y-intercept is where the function has a value of 0 in the x-value.
Now let's solve for each.
For the x-intercept, we'll set y = 0 in the equation and solve for x.
The formula is: 7x - 3*0 = 21
This simplifies to: 7x = 21
Divide 21 by 7 and we get x = 3
So, the x-intercept for this function is 3.
Next, let's find the y-intercept by setting x = 0 in the equation and solving for y.
The formula we'll use now is: 7*0 - 3y = 21
This simplifies to: -3y = 21
Divide -21 by 3 and we get y = -7
So, the y-intercept for this function is -7.
In summary, the x-intercept is 3 and the y-intercept is -7.