Write in slope-intercept form an equation of a line that passes through the given points.
(0,1), (2, 4)

y=3/2x+1

Step-by-step explanation:

it passes through (0,1) which means the y-intercept, b, is 1, and add 2 and 3 to the first pair gives you a change of 3/2 meaning the change in y is 3 and the change in x is 2 so the change in y over the change in x is 3/2

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!

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,