# allied mat120 module 4 check your understanding

Question

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. xy = 4

a.

Symmetric with respect to the origin.

b.

Symmetric with respect to the origin.

c.

Symmetric with respect to the x-axis.

d.

Symmetric with respect to the y-axis.

2. Indicate the slope. 3x + 4y = 12

a. –

b.

c. –

d.

e.

Indicate the slope. 3x + 4y = 12

a. –

b.

c. –

d.

Indicate the slope, if it exists. y = –3

a. 3

b. 0

c. -3

d. Undefined

.

1

4. Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.

a. 3x + y = 5

b. 3x – y = 7

c. x + 3y = –1

d. x – 3y = 5

Hint:Sections 2.1-2.3

M is the midpoint of A and B. Find the indicated point. Verify that

a. (0.9, –4.7)

b. (–6.1, –5.7)

c. (6.1, 5.7)

d. (–27.1, –8.7)

Write the equation of the line passing through (–3, –5) and (3, 0). Write your answer in the slope-intercept form y = mx + b.

a.

b.

c.

d.

Hint:Sections 2.1-2.3

Write the equation of the line which passes through (2, –1) and is perpendicular to the line with equation 3y – x = 1.

a. 3x + y = 5

b. 3x – y = 7

c. x + 3y = –1

d. x – 3y = 5

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + y2 + x2y2 = 4

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Symmetric with respect to the x-axis, the y-axis, and the origin

Reflect A, B, C, and D through the x-axis and then through the y-axis and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, 6), C’ = (3, 1), D’ = (2, –5)

b. A’ = (0, –1), B’ = (–6, –3), C’ = (1, 3), D’ = (5, 2)

c. A’ = (0, –1), B’ = (6, –3), C’ = (1, 3), D’ = (–5, 2)

d. A’ = (1, 0), B’ = (3, –6), C’ = (–3, –1), D’ = (–2, 5)

?

Reflect A, B, C, and D through the y-axis and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, –6), C’ = (3, –1), D’ = (2, 5)

b. A’ = (0, 1), B’ = (6, 3), C’ = (1, –3), D’ = (–5, –2)

c. A’ = (0, –1), B’ = (–6, –3), C’ = (–1, 3), D’ = (5, 2)

d. A’ = (1, 0), B’ = (3, –6), C’ = (–3, 1), D’ = (2, –5)

Solve for y, producing two equations, and then graph both of these equations in the same viewing window.

(y – 2)2 – x2 = 9

a.

b.

c.

d.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2 + 6xy + y2 = 1

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Symmetric with respect to the x-axis, the y-axis, and the origin

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. x2y + 4y2 = 1

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. Not symmetric with respect to the x-axis, the y-axis, or the origin

?

Find the distance between (–3, –2) and (1, 4).

a. 27

b.

c.

d.

LO4B:Calculate the distance between two points.

a. x = –2

b. y = –2

c. y = x – 2

d. y = 2x

?

. Reflect A, B, C, and D through the origin and give the coordinates of the reflected points, A’, B’, C’, and D’.

a. A’ = (–1, 0), B’ = (–3, 6), C’ = (3, 1), D’ = (2, –5)

b. A’ = (0, –1), B’ = (–6, –3), C’ = (1, 3), D’ = (5, 2)

c. A’ = (1, 0), B’ = (3, –6), C’ = (–3, –1), D’ = (–2, 5)

d. A’ = (0, –1), B’ = (6, –3), C’ = (1, 3), D’ = (–5, 2)

Write the equation of the line with slope 0 and y-intercept –3. Write the equation in standard form Ax + By = C, A > 0.

a. –3x – y = 0

b. –3x + y = 0

c. y = –3

d. -3

Write an equation of the line passing through (–8, –3) and perpendicular to y = . Write your answer in standard form Ax + By = C, A > 0.

a. 4x + y = –35

b. 4x – y = –35

c. x + 4y = –20

d. x – 4y = –20

. Indicate the slope. 3x + 2y = 6

a.

b. –

c.

d. –

LO4D:Det

?

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. Sketch the graph of the equation. y2/7 = x

a.

Symmetric with respect to the y-axis.

b.

Symmetric with respect to the x-axis.

c.

Symmetric with respect to the y-axis.

d.

Symmetric with respect to the x-axis.

.

Test the equation for symmetry with respect to the x-axis, the y-axis, and the origin. y = x – 3

a. Symmetric with respect to the x-axis

b. Symmetric with respect to the y-axis

c. Symmetric with respect to the origin

d. No symmetry with respect to x-axis, y-axis, or origin

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