Answer:
[tex]y=-\frac{9}{4} x-4[/tex]
Step-by-step explanation:
If we are finding a line parallel to the given one, we need to use the same slope. That is, our new line should have a form like:
[tex]y=-\frac{9}{4} x+b[/tex]
We can determine the value of "b" by using the condition that we want the line to go through the point (-4,5), therefore when x=-4, the y value for that line should be 5. In mathematical terms:
[tex]y=-\frac{9}{4} x+b\\5=-\frac{9}{4} (-4)+b\\5=9+b\\b=5-9=-4[/tex]
Therefore our new line parallel to the given one is:
[tex]y=-\frac{9}{4} x-4[/tex]
