Question

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when x = 3/2 and y = 0. Which equation could represent line q?

Answer 1

Answer:

$f(x) = k(x - \frac{3}{2})$

Step-by-step explanation:

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when x = $\frac{3}{2}$ and y = 0.

Now, as x = $\frac{3}{2}$  is a solution of the equation, y = f(x) = 0, so, $(x - \frac{3}{2})$ will be a factor of the linear function y = f(x).

Therefore, we can write the possible equation for the line q will be

$f(x) = k(x - \frac{3}{2})$. (Where k is any constant} (Answer)