Question

A square lies on the coordinate plane, with vertices shown in the figure. What is the equation of a line through the origin and parallel to ZY?



(1 point)
Responses

y=−54x

y is equal to negative 5 fourths x

y=45x

y is equal to 4 fifths x

y=−45x

y is equal to negative 4 fifths x

y=54x

Answer 1

From the diagram Z = (0, −5) and Y = (4, 0). The slope of ZY is (0 − (−5)) / (4 − 0) = 5/4. A line through the origin with that slope is y = (5/4)x.