Answer:
D: [tex]5x-8y=40[/tex]
Step-by-step explanation:
At a glance: Last one, it's the only one with different signs for x and y coefficient, and the graph is growing.
Some more reasoning: Write all of them in slope-intercept point:
[tex]A: y= -\frac58x +\frac52\\B: y= -\frac85x+4\\C: y= -\frac85x+8\\D:y=-\frac58x-5[/tex]
The only one with a compatible slope and intercept is D
Number crunching: replace the coordinates of either [tex](8;0)[/tex]or[tex](0;-5)[/tex]. As soon as the equality stops holding, that option isn't valid anymore.
Example: A w/ [tex](0;-5)[/tex]: [tex]\frac 52(0) +4(-5) = 10 \rightarrow -20 = 10[/tex] which isn't true, so A is out.
