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

Answer:

FIRST OPTION.

THIRD OPTION.

FOURTH OPTION.

FITH OPTION.

Step-by-step 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)

$\frac{y}{2}=x+7\\ y=2(x+7)\\y=2x+14$

 (It is a linear function)

Equation of the line whose slope is not defined:

$x=-4$