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题目内容
In the rectangular coordinate system, a certain line has slope 3. Which of the following pairs of points could be on the line?


Lines $$k$$ and $$l$$ lie in the xy-plane and are parallel.

Quantity A

$$a$$

Quantity B

$$b$$
In the xy-plane, a line that has a slope of -3 passes through the points (3, k) and (-2, m).

Quantity A

k-m

Quantity B

-15
In a rectangular coordinate system, a line passes through point A (3,4) and point B (r,t) where r≠3.

Quantity A: The slope of the line

Quantity B: $$\frac{4}{3}$$
In the xy-plane, the coordinates of point A is (3, 4), while the coordinates of point B is (x, y). The distance between point A and B is 5. (x≠3)

Quantity A

The slope of line AB

Quantity B

$$\frac{4}{3}$$
In the xy-plane, line m intersects the y-axis above the origin and intersects the x-axis to the right of the origin. The distance between the x- and y-intercepts of line $$m$$ is 5. If the ratio of the distance between the origin and the x-intercept to the distance between the origin and the y-intercept is 4 to 3, which of the following is an equation of line $$m$$?


The shaded triangle in the xy-plane above is bounded by the x-axis and the graphs of y=-x+3 and y=($$\frac{3}{2}$$ )x+3. What is the area of the triangle?
Line l: y=$$\frac{3}{2}$$ x+8

Line k: y=-$$\frac{2}{3}$$ x+b

The x-coordinate of the intersection point of line l and k is 6. What is the x-intercept of line k?

Give your answer as a decimal.
Line l and k are perpendicular and intersects at point (-4, 4). If line k passes through the origin, then what is the x-intercept of line l?
In the xy-plane, line $$l$$ has $$x$$-intercept $$3$$ and $$y$$-intercept $$4$$, and line $$m$$ has $$x$$-intercept $$4$$ and $$y$$-intercept $$3$$.

Quantity A

The slope of line $$l$$

Quantity B

The slope of line $$m$$
In plane P, point Q is on line l.

Quantity A

The number of points in plane P whose distance from line l is 2 and whose distance from point Q is 3

Quantity B

4


Quantity A

The perimeter of quadrilateral RSTW shown in the xy-plane

Quantity B

34

Quantity A

The distance between point (5, 5) and (0, 0)

Quantity B

The distance between point (4, 6) and (0, 0)
In the xy-plane, the points (-2, 3) and (6, -3) lie on a circle, and the line segment connecting the points is a diameter of the circle. What is the area of the circle?
Line segment AB is a diameter of a circle. If the coordinates of point A and point B are (0, 2) and (6, 0), respectively, then what is the area of the circle?
In the rectangular coordinate system, the point (2, 1) is on a circle whose center is (-2, -1). What is the circumference of the circle?
In a rectangular axis, point A (a,3) and point B (b,9) is 8 units apart.

Quantity A

b-a

Quantity B

5
In the xy-plane, A(0, 0), B(4, 3) and C(a, 0) (a>0) are three vertices of a triangle. The area of △ABC is 4.

Quantity A

a

Quantity B

4
In the xy-plane, a triangle has vertices (0, 0), (k, 0) and (k, -4k), where k>0. If the area of the region enclosed by the triangle is 32, what is the value of k?
The coordinates of one of the vertices of a square is (2,2). The side of the square is 4. Which of the following could be coordinates of the vertex opposite to (2, 2)?

Indicate all such points.

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