Given the equation -6x-7y=42, the x intercept occurs at when y = 0
Subxtitute y = 0 into the equation ans solve for x as shown:
-6x-7y=42
-6x-7(0) = 42
-6x-0 = 42
-6x = 42
x = -42/6
x = -7
Hence the x intercept of the function occurs at x = -7
Similarly, to get the y intercept, we wil substitute x = 0 as shown:
-6x-7y=42
-6(0)-7y = 42
0-7y = 42
-7y =42
y = -42/7
y = -6
Hence the y intercept of the function occurs at y = -6