Quiz about Coordinate Points and Equations

Question 1

What is the value of "b" in the following equation:

y = 2x

Accepted Answer

0

Answer

2

Answer

1

Answer

none of the above

Question 2

In the standard $$\left(x,y\right)$$ coordinate plane below, the endpoints of the major and minor axes of the ellipse are labeled. Which of the following equations determines the ellipse?

Accepted Answer

$$\frac{x^2}{16}+\frac{y^2}{49}=1$$

Answer

$$\frac{x^2}{4}+\frac{y^2}{7}=1$$

Answer

$$\frac{x^2}{8}+\frac{y^2}{14}=1$$

Answer

$$\left(x-4\right)^2+\left(y-7\right)^2=1$$

Answer

$$\left(x+4\right)^2\left(y+7\right)^2=1$$

Question 3

In the standard $$\left(x,y\right)$$ coordinate plane, the point $$\left(2,1\right)$$ is the midpoint of $$\overline{CD}$$ . Point $$C$$ has coordinates $$\left(6,8\right)$$ . What are the coordinates of point $$D$$ ?

Accepted Answer

$$\left(-2,-6\right)$$

Answer

$$\left(-2,-\frac{7}{2}\right)$$

Answer

$$\left(4,\frac{9}{2}\right)$$

Answer

$$\left(10,10\right)$$

Answer

$$\left(10,15\right)$$

Question 4

In the standard $$\left(x,y\right)$$ coordinate plane, a circle with its center at $$\left(8,5\right)$$ and a radius of $$9$$ coordinate units has which of the following equations?

Accepted Answer

$$\left(x-8\right)^2+\left(y-5\right)^2=81$$

Answer

$$\left(x-8\right)^2+\left(y-5\right)^2=9$$

Answer

$$\left(x+8\right)^2+\left(y+5\right)^2=81$$

Answer

$$\left(x+8\right)^2+\left(y+5\right)^2=9$$

Answer

$$\left(x+5\right)^2+\left(y+8\right)^2=81$$

Question 5

The quadratic function $$f$$ and $$\Delta MPQ$$ are graphed in the standard $$\left(x,y\right)$$ coordinate plane below. Points $$M\left(2a,5b\right)$$ , $$N\left(4a,9b\right)$$ , and $$P\left(6a,5b\right)$$ are on $$f$$ . Point $$Q\left(4a,0\right)$$ is NOT on $$f$$ . In terms of $$a$$ and $$b$$ , what is the area, in square coordinate units, of $$\Delta MPQ$$ ?

Accepted Answer

$$10ab$$

Answer

$$8ab$$

Answer

$$12ab$$

Answer

$$15ab$$

Answer

$$20ab$$

Question 6

In the standard $$\left(x,y\right)$$ coordinate plane, what is the slope of the line through $$\left(-3,1\right)$$ and $$\left(5,6\right)$$ ?

Accepted Answer

$$\frac{5}{8}$$

Answer

$$-\frac{5}{2}$$

Answer

$$-\frac{5}{8}$$

Answer

$$\frac{5}{2}$$

Answer

$$\frac{7}{2}$$

Question 7

Quadrant I of the standard $$\left(x,y\right)$$ coordinate plane is shown on a large computer screen. A blinking dot is positioned at $$\left(2,3\right)$$ . The dot makes exactly 2 moves: first, horizontally in the positive $$x$$ direction for 4 seconds at a speed of $$0.5$$ coordinates per second; then, vertically in the positive $$y$$ direction for 2 seconds at the same speed. At what point is the dot located after these 2 moves?

Accepted Answer

$$\left(4,4\right)$$

Answer

$$\left(2,6\right)$$

Answer

$$\left(3,5\right)$$

Answer

$$\left(5,3\right)$$

Answer

$$\left(6,5\right)$$

Question 8

In the standard $$\left(x,y\right)$$ coordinate plane below, point $$A$$ has coordinates $$\left(2,-4\right)$$ , and point $$B\left(8,-1\right)$$ divides $$\overline{AC}$$ so that the ratio $$AB:BC$$ is $$1:3$$ . What are the coordinates of point $$C$$ ?

Accepted Answer

$$\left(26,8\right)$$

Answer

$$\left(-16,-13\right)$$

Answer

$$\left(10,0\right)$$

Answer

$$\left(14,2\right)$$

Answer

$$\left(32,11\right)$$

Question 9

The point $$\left(4,r\right)$$ lies on the graph of $$y=-3x+2$$ in the standard $$\left(x,y\right)$$ coordinate plane. What is the value of $$r$$ ?

Accepted Answer

$$-10$$

Answer

$$-4$$

Answer

$$-14$$

Answer

$$-18$$

Answer

$$-24$$

Question 10

When graphed in the standard $$\left(x,y\right)$$ coordinate plane, the line with the equation $$\frac{5}{2}x+\frac{3}{4}y=-\frac{1}{2}$$ has a slope of:

Accepted Answer

$$-\frac{10}{3}$$

Answer

$$-\frac{3}{10}$$

Answer

$$-\frac{2}{3}$$

Answer

$$-\frac{15}{8}$$

Answer

$$-\frac{5}{2}$$

Question 11

In the standard $$\left(x,y\right)$$ coordinate plane, the 3 distinct points $$A\left(3,5\right)$$ , $$B\left(6,8\right)$$ , and $$C$$ are collinear, and $$B$$ is equidistant from $$A$$ and $$C$$ . What are the coordinates of $$C$$ ?

Accepted Answer

$$\left(9,11\right)$$

Answer

$$\left(4,7\right)$$

Answer

$$\left(1.5,1.5\right)$$

Answer

$$\left(4.5,6.5\right)$$

Answer

$$\left(7.5,10.5\right)$$

Question 12

What is the slope of a line, in the standard $$\left(x,y\right)$$ coordinate plane, that is parallel to $$x+5y=9$$ ?

Accepted Answer

$$-\frac{1}{5}$$

Answer

$$-5$$

Answer

$$\frac{1}{5}$$

Answer

$$\frac{9}{5}$$

Answer

$$9$$

Question 13

How can you check to see if a point (an ordered pair), lies on a line?

Accepted Answer

Substitute the x and y-coordinates into the equation of the line to see if they make the equation true.

Accepted Answer

Graph it and check.

Answer

Guess.

Answer

Any ordered pair can be found on any line.

Question 14

How many points (ordered pairs) are on 1 line?

Accepted Answer

infinite

Answer

1

Answer

2

Answer

100

Coordinate Points and Equations

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