Write an equation for the linear function f with the values f(0) = 4 and f(2) = 12

Question

Write an equation for the linear function f with the values f(0) = 4 and f(2) = 12



Answer 1

this is the same as finding the line that goes through the two points (2,12) and (0,4)

It has slope 8/2 = 4 = (12-4)/(2-0) = m. m=4. slope = rise/run. or change in y coordinates/change in x coordinates

y intercept is given by (0,4) as 4, b= 4. so plug that into the slope intercept equation

y= mx + b

y = 4x +4

It's just a coincidence they both happened to = 4. m=b=4