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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,
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