Question

Select all of the equations that represent linear relationships. 5 + 2y = 13 y = 1/2x^2+7 y – 5 = 2(x – 1) y/2 = x + 7 x = –4

Answer 1

1, 3, 4, and 5

Explanation:

Edge 2021!

Proof:

Answer 2

FIRST OPTION.

THIRD OPTION.

FOURTH OPTION.

FITH OPTION.

Explanation:

The equation of the line in slope-intercept form is:

`y=mx+b`

Where m is the slope, b the y-intercept and the exponent of x is always 1 or 0.

Solve for y from the equations shown below:

`5+2y=13\\2y=8\\y=4`

(In this linear function the slope is 0)

`y-5=2(x-1)\\y=2x-2+5\\y=2x+3`

(It is a linear function)

`(y)/(2)=x+7\\ y=2(x+7)\\y=2x+14`

(It is a linear function)

Equation of the line whose slope is not defined:

`x=-4`