prove that point (-4;11)lies on the line 3x+4y=32

Answer 1

To prove that the point (-4,11) lies on the line 3x + 4y = 32, we will substitute the values of x and y into the equation and see if the equation holds true.

Given equation: 3x + 4y = 32

Substitute x = -4 and y = 11 into the equation:

3(-4) + 4(11) = 32
-12 + 44 = 32

After evaluating the expression:

32 = 32

Since the equation is true when the values of x and y are substituted into it, we can conclude that the point (-4,11) lies on the line 3x + 4y = 32.