1. Which of the following is the correct equation for the

line passing through the points (2, 5) and (-3, 1)?

a) y = -2x + 11

b) y = -2x + 1

c) y = 2x + 9

d) y = 2x + 1

Answer: a) y = -2x + 11

Rationale: To find the equation of a line passing through

two points, we need to calculate the slope (m) first using

the formula m = (y2 - y1) / (x2 - x1). Using the given

points, we get m = (1 - 5) / (-3 - 2) = -4 / -5 = 4/5. Next, we

substitute the slope and one of the points into the slopeintercept form y = mx + b to calculate the y-intercept (b).

In this case, using the point (2, 5), we get 5 = (4/5)(2) + b,

which simplifies to b = 11. Therefore, the equation of the

line is y = -2x + 11.

2. Which of the following is the graph of the quadratic

function f(x) = (x - 3)(x + 2)?

a) [GRAPH A]

b) [GRAPH B]

c) [GRAPH C]

d) [GRAPH D]

Answer: c) [GRAPH C]

Rationale: To determine the graph of a quadratic function,