Which equation represents a proportional relationship between the x and y values? A) y = 2 B) y = 14x + 1 C) y = x − 4 D) y = −2x

Question

asked Nov 14, 2020 182k views

2 Answers

Qsantos · Answer 1 · 2020-11-20T07:08:36+0000

Answer:

D)

Explanation:

A linear relationship is of the form
y=mx+b , where,
is the slope and
is the y-intercept (constant).

For a proportional relationship, the value of
and thus it is of the form
y=mx

Let us check each option and express it in the form above.

Option A:

y=2

This can be written as
y=0x+2 . So,
$b\\e 0$ .

Since, b \\e 0, therefore, it is not a proportional relationship.

Option B:

y=14x+1

Here,
b=1 . So,
$b\\e 0$ .

Since, b \\e 0, therefore, it is not a proportional relationship.

Option C:

y=x-4

Here,
b=-4 . So,
$b\\e 0$ .

Since, b \\e 0, therefore, it is not a proportional relationship.

Option D:

y=-2x

This can be rewritten as
y=-2x+0

There is no y-intercept on this. So,
b=0

Since,
b = 0 , therefore, it is a proportional relationship.

Therefore, the correct option is D.