Which lines have slope -4/5 and contains point (0,1)?

ANSWER

The required line is BC

EXPLANATION

We want to find the line that passes through


and has slope


Since the x-value of the given point is zero, the point



is the y-intercept.

From the above graph, the two lines that contains


are line CE and line BC.

Since, the slope


is negative, line BC is the required line because it is sloping backwards.

We can confirm this by using the point,



and



to find the slope and obtain

It’s either a or c as the answer.