Consider the following parametricequations, x=t+6, y=7t7; 5t5. Complete parts(a) through(d) below.

a. Make a brief table of values oft, x, and y.

t

5

3

0

3

5

x(t)

nothing

nothing

nothing

nothing

y(t)

nothing

nothing

nothing

nothing

nothing

(Type integers ordecimals.)

b. Plot the(x, y) pairs in the table and the complete parametriccurve, indicating the positive orientation(the direction of increasingt).

A.

-15

15

-55

45

x

y

A coordinate system has a horizontal x-axis labeled from negative 15 to 15 in increments of 3 and a vertical y-axis labeled from negative 55 to 45 in increments of 5. 5 points are plotted on a line segment that rises from left to right. The segment starts at the plotted point (1, 22) and passes through the plotted points (3, 8), (6, negative 13), and (9, negative 34). There is an arrowhead pointing along the line segment towards the plotted point at the end of the line segment (11, negative 48).

B.

-15

15

-55

45

x

y

A coordinate system has a horizontal x-axis labeled from negative 15 to 15 in increments of 3 and a vertical y-axis labeled from negative 55 to 45 in increments of 5. 5 points are plotted on a line segment that falls from right to left. The segment starts at the plotted point (1, 28) and passes through the plotted points (3, 14), (6, negative 7), and (9, negative 28). There is an arrowhead pointing along the line segment towards the plotted point at the end of the line segment (11, negative 42).

C.

-15

15

-55

45

x

y

A coordinate system has a horizontal x-axis labeled from negative 15 to 15 in increments of 3 and a vertical y-axis labeled from negative 55 to 45 in increments of 5. 5 points are plotted on a line segment that rises from right to left. The segment starts at the plotted point (11, 28) and passes through the plotted points (9, 14), (6, negative 7), and (3, negative 28). There is an arrowhead pointing along the line segment towards the plotted point at the end of the line segment (1, negative 42).

D.

-15

15

-55

45

x

y

A coordinate system has a horizontal x-axis labeled from negative 15 to 15 in increments of 3 and a vertical y-axis labeled from negative 55 to 45 in increments of 5. 5 points are plotted on a line segment that falls from left to right. The segment starts at the plotted point (11, 22) and passes through the plotted points (9, 8), (6, negative 13), and (3, negative 34). There is an arrowhead pointing along the line segment towards the plotted point at the end of the line segment (1, negative 48).

c. Eliminate the parameter to obtain an equation in x and y.

nothing

d. Describe the curve.

A.

A line segment rises from right to left as t increases.

B.

A line segment falls from right to left as t increases.

C.

A line segment falls from left to right as t increases.

D.

A line segment rises from left to right as t increases.