The value of y varies directly with x, and y=1 when x=2. find y when x=4

Direct variation: y=kx
k = constant of variation

Solve for k when y=1 and x=2
1 = 2 · k
k = 1/2

y = 1/2 · x

Solve for y when x=4
y = (1/2) · (4)
y = 2

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c