Question

In the x -y plane, the line 3x + 2y =72 intersects the x -axis at x=b,for some number b. What is the value of b?

Answer 1

Since it is specifically stated that the line intersects the x-axis, then this means that y = 0. Therefore substituting y = 0 into the given equation will us the value of x.

Substituting y = 0:

3 x + 2 * 0 = 72

3 x = 72

x = 24

Therefore this means that the line intersect the x-axis at point (24, 0).