What is the function rule for the line?

f(x) = (2/3)x-2

Step-by-step explanation:

The slope is positive. We can calculate it by taking any two points on the line and finding the Rise (change in y) divided by the corresponding Run (the change in x). I'll pick points (-3,-4) and (3,0) [mostly becasue it is easy to see whole numbers for both x and y at these points].

Going from (-3,-4) to (3,0):

Rise = (0-(-4)) = 4

Run = (3-(-3)) = 6

Rise/Run, or slope, = 4/6 or 2/3.

Put this into the standrad form for a straight line: y=mx+b, we get:

y = (2/3)x + b.

b is the y-intercept, the value of y when x is zero. We can find that on the graph. When x = 0, y = -2. So b is -2.

y = (2/3)x - 2

first option

a function is a relation in which an input is paired with exactly one output.

so, let's find the right answer.

in our first option, our inputs are january, february, and march. the outputs are 30, 28, and 25. each input has it's own output. this is correct!

our second option we know is incorrect, because ms. valverade has two outputs, dogs and cats. this is not a function.

our third option is incorrect as well. the yellow square has two ouputs, the square and the triangle.

lastly, in our fourth option, we see the number 7 two times with a different output. therefore, this is not a function.

remember: each input must be paired with only one output!

sum= when you add is how much the whole amount is

distance= when you use angles and it means how far it goes

step-by-step explanation: