Answer:
y = (-2/5 ) x + 4
So the one you have marked is correct :)
Explanation:
To find the line parallel to line CD, we first need to determine the slope of line CD. The slope of a line is given by the formula (y2 - y1)/(x2 - x1). Here, the coordinates of points C and D are given as C=(0,-2) and D=(-5,0), respectively.
So the slope (m) of line CD would be:
m = (0 - -2) / (-5 - 0)
m = 2 / -5
m = -2/5
Therefore, the line that is parallel to line CD would have the same slope, which is -2/5.
Looking at the given equations, the line y=(-2/5)x+4 has the same slope of -2/5.
So, the line y=(-2/5)x+4 is parallel to line CD.
Hope this helps!