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?

A. y = 3/2x.
B. y = 4/3x - 2.
C. y = -5/2x + 1.
D. y = -2/3x + 3/2.

Answer 1

The equation that represents line q is y = -2/3x + 3/2. To determine the equation for line q, substitute the values x = 3/2 and y = 0 into the equation and solve for the slope and y-intercept.

Step-by-step explanation:

The equation that represents line q is y = -2/3x + 3/2.

To determine the equation for line q, we need to find the slope and y-intercept of the line. Since the only solution to the system of linear equations occurs when x = 3/2 and y = 0, we can substitute these values into the equation and solve for the slope and y-intercept.

Using the formula y = mx + b, where m is the slope and b is the y-intercept, we substitute the values x = 3/2 and y = 0 and solve for the slope:

• 0 = (-2/3)(3/2) + b
• 0 = -1 + b
• b = 1

Therefore, the equation for line q is y = -2/3x + 3/2.