The slope of a line is ¾. A different line passes through the points (6, 3) & (-1, 5). Are the lines parallel? Why or why not?

Group of answer choices

A They are parallel because they both have a slope of ¾.

B They are not parallel because their slopes are not equal.

C They are parallel because they share a common point.

D They are not parallel because they are the exact same line.

Solution:

Given that,

A different line passes through the points (6, 3) & (-1, 5)

Find the slope of this line

From given,

Substituting we get,

For two lines are parallel, then their slopes must be equal

But here,

Therefore, They are not parallel because their slopes are not equal

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: x

step-by-step explanation: