<em><u>Answer:</u></em>

<em><u>Explanation:</u></em>
<u>The general formula of the linear equation is:</u>
y = mx + c where m is the slope and c is the y-intercept
<u>1- getting the slope of the given line:</u>
<u>The given line is:</u>
2x + 5y = 4
<u>Rearrange to be in the general formula:</u>
5y = -2x + 4 .............> y = 
<u>slope of the given line is</u> : 
<u>2- getting the slope of the required line:</u>
We are given that the two lines are parallel, this means that they have equal slopes.
<u>Therefore:</u>
<u>slope of the required line</u> = 
<u>The equation of the required line now became</u> : y =
x + c
<u>3- getting the value of c:</u>
We are given that the line passes through the point (5,-4). This means that this point satisfies the equation of the line.
<u>Therefore, we will substitute with the point in the equation and solve for c as follows:</u>
y =
x + c
-4 =
(5) + c
-4 = -2 + c
c = -4 + 2
c = -2
<u>Based on the above, the equation of the line is:</u>

Hope this helps :)