A line intersects the positive $x$-axis and positive $y$-axis, as shown. A possible equation of this line is
(A) $y=2 x+7$
(B) $y=4$
(C) $y=-3 x-5$
(D) $y=5 x-2$
(E) $y=-2 x+3$

![](https://cdn.mathpix.com/cropped/2024_04_20_e85ef69091c57cb633f3g-057.jpg?height=445&width=504&top_left_y=1485&top_left_x=1250)
We consider the equation of the line shown in the form $y=m x+b$.

The slope, $m$, of the line shown is negative.

The $y$-intercept, $b$, of the line shown is positive.

Of the given choices only $y=-2 x+3$ has $m0$.

Therefore, a possible equation for the line is $y=-2 x+3$.

ANswer: (E)