Q:

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

Accepted Solution

A:
Answer: FIRST OPTION. THIRD OPTION. FOURTH OPTION. FITH OPTION.Step-by-step explanation: The equation of the line in slope-intercept form is: [tex]y=mx+b[/tex] 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: [tex]5+2y=13\\2y=8\\y=4[/tex] (In this linear function the slope is 0) [tex]y-5=2(x-1)\\y=2x-2+5\\y=2x+3[/tex] (It is a linear function) [tex]\frac{y}{2}=x+7\\ y=2(x+7)\\y=2x+14[/tex]  (It is a linear function) Equation of the line whose slope is not defined: [tex]x=-4[/tex]