Line t intersects the line given by y=4x-2 at the point (4,14) to form a right angle. which is the equation of line t

y = -1/4 x + 15.

Step-by-step explanation:

y = 4x - 2 has a slope of 4 ( = the coefficient of x).

The line  at right angles to it will therefore of a slope of -1/4.

Using the point-slope form of a line the line t which passes through (4, 14) is found as follows:

y - 14 = -1/4(x - 4)

y = -1/4x + 1 + 14

y = -1/4x + 15

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!

step-by-step explanation: