PLEASE ANSWER
There are 8 pies and 14 cakes for sale in the bakery. Which statement correctly describes the unit rate of pies to cakes in the bakery? *
A. There is 1 pie for every 1.75 cakes.
B. There is 1 pie for every 0.57 cakes.
C. There is 3/4 cake for every pie.
D. There are 4 cakes for every 7 pies.

A

Step-by-step explanation:

8 times 1.75 is 14.

A) The slope of the line would be 6. This is found by using the point slope formula; (y2-y1)/(x2-x1). It would be shown as (10-(-2))/(4-6) which is simplified to 6.

B) The point slope form equation is y=mx+b so we need to find the y intercept. We do this by plugging in all the numbers we have so far and a point we were given in the beginning. If we plug everthing in it would look something like this -2=6(4)+b. When we solve, b=-26. Since its asking for us to write it in point-slope form, it would be like y+2=6(x-4). The point-slope form is y-y1=m(x-x1)

C) The equation of the line in slope intercept form is y=6x-26. All work is shown previously.