Answer:
y=8x/9
Step-by-step explanation:
Given that 8 euros were worth $9 and
24 euros were worth $27.
Let y represent the number of Euros and x no of dollars.
Given that the relation is of the form y = kx+C
When x=0 y =0,
i.e. C =0
Hence equation is of the form y = kx
Substitute x=8 and y =9
We get 9 = 8k
Or k =8/9
Hence relation is y=8x/9 is the relation between x and y.
WE can verify this for 27 dollars worth 24 euros.
24 =8/9(27) is true.
Thus equation is verified.
ANSWER:

STEP-BY-STEP EXPLANATION:
We have that the equation in its slope-intercept form is the following:

The slope can be calculated as follows:

We use the points (4,7) and (1,1) to calculate the slope:

Now, we calculate the value of b, using the point (1,1) and the slope, like this:

Therefore, the equation would be: