Which graph represents a line with a slope of -2/3 and a y-intercept equal to that of the line y = 2/3x – 2? A coordinate plane with a line starting at (negative 2, negative 4), passing through (0, negative 2) and (2, 1).

A coordinate plane with a line passing through (negative 3, 0) and (0, 2).

A coordinate plane with a line passing through (0, 2) and (2, negative 1).

A coordinate plane with a line passing through (negative 3, 0) and (0, negative 2).

graph 1  

Step-by-step explanation:

Graph using table of values

x           y

2       -2/3

1         -4/3

0          -2

they are all on that graph

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

sine

step-by-step explanation: