Which of these functions is a linear function? y + x = 5 y + x2 = -2 y = 2x3 + 1 3x2 + y2 = -4

Question

asked Mar 5, 2020 45.8k views

2 Answers

TheEwook · Answer 1 · 2020-03-07T18:59:07+0000

Answer:

y + x = 5

Explanation:

The graph of
y+x=5 is a straight line

The graph of
y+x^2=-2 is a parabola.

The graph of
y=2x^3+1 is a non-linear curve.

The graph of

3x^2+y^2=-4 is an ellipse.

A graph of a linear function is a straight line.

Therefore y + x = 5 is the correct choice.

Ken Yeoh · Answer 2 · 2020-03-09T19:57:28+0000

Answer: First Option

y + x = 5

Explanation:

The linear functions have the following form

ax ^ n + bx ^ m = c

Where a and b are constants and are real numbers and the exponent n and m is always equal to 1.

m=n=1

In other words, the linear equations have the form

ax + by = c

Identify among the options the functions that have this form

y + x = 5 is a linear function with
a = 1 ,
b = 1 ,
c = 5 and
m=n=1

y + x^2 = -2 is not a linear function because
$n\\eq 1$ .

y = 2x^3 + 1 is not a linear function because
$n\\eq 1$

3x^2 + y^2 = -4 is not a linear function because
$n\\eq 1$ and
$m\\eq 1$