Answer: (
We are given the equation, 3x - 7y = 21
This is a slope - intercept equation
y = mx + b
Firstly, we need to re arrange the equation
-7y = 21 - 3x
7y = 3x - 21
To find x and y intercepts, we need to isolate the variables individually
To find the value of y let x = 0
Substsitute the value of x = 0 into the equation
7y = 3(0) - 21
7y = 0 - 21
7y = -21
Divide both sides by 7
7y/7 = -21/7
y = -21/7
y = -3
(0, -3)
To find x, let y = 0
7y = 3x - 21
7(0) = 3x - 21
0 = 3x - 21
Make 3x the subject of the formula
0 - 3x = -21
-3x = -21
Divide both sides by -3
-3x/-3 = -21/-3
x = 21/3
x = 7
(7, 0)
The x- intercept is (7, 0) and y- intercept is (0, -3)
The answer is OPTION C