If f is a linear function for which f(4) = −7 and f(−4) = 25, find f(6)

Answer 1

(4,-7) and (-4,25) are points on a line with slope = (25+7)/(-4-4) = -4

the equation of the line is

y=-4x + b, solve for b by plugging in either point

-7=-4(4) + b

b =-7 +16 = 9

y =-4x +9 let x = 6

f(6) = y = -4(6)+9 =-24+9 = -15

f(6) =-15