Answer: Linear function.
Step-by-step explanation:
lets find the equation for this then can figure if its linear or non linear:
lets take ( 3 , 1 ) , ( 0 , 6 )
gradient = [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{6-1}{0-3}[/tex] = [tex]\frac{-5}{3}[/tex]
find equation:
y - 6 = [tex]\frac{-5}{3}[/tex]( x - 0 )
y = [tex]\frac{-5x}{3}[/tex] + 6 ..this is the equation
now put x values and check if it matches to y value:
[tex]\frac{-5(3)}{3}+6 = 1[/tex]
[tex]\frac{-5(0)}{3}+6 = 6[/tex]
[tex]\frac{-5(-3)}{3}+6 = 11[/tex]
[tex]\frac{-5(-6)}{3}+6=16[/tex]
They all match so its a linear function.
