Find the value of r so that the line through (-4, 3) and (r, -3) has a slope of 2/3

-13

Step-by-step explanation:

If there are two points (x1, y1) and (x2, y2), the slope (m) would be (y2-y1)/(x2-x1). In this problem, the slope would be (-3-3)/(r-(-4)) = -6/(r+4). Since the slope is 2/3, you just set -6/(r+4)=2/3 and solve the equation. You can cross multiply to solve the equation, and you would end up with r = -13.

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!

answer: sine

step-by-step explanation: