Algebra-2

Step 1: Find the x-intercept
The x-intercept occurs where y = 0.
To find the x-intercept, substitute y = 0 into the equation 7x + 3y = 42:

7x + 3(0) = 42 ⇒ 7x = 42 ⇒ x = 42/7 = 6
Thus, the x-intercept is (6,0).

Step 2: Find the y-intercept
The y-intercept occurs where x = 0.
To find the y-intercept, substitute x = 0 into the equation 7x + 3y = 42:

7(0) + 3y = 42 ⇒ 3y = 42 ⇒ y = 42/3 =14
Thus, the y-intercept is (0...