Which function has the greatest rate of change? a) y = 3x - 4 b) 4y - 8x = 1 c) a line passing through points (2,6) and (3,10) d) a line passing through points (5,−2) and (6, 4)

Greatest rate of change is the slope

the slope between the oints (x1,y1) and (x2,y2) is
(y2-y1)/(x2-x1)
and
y=mx+b
m=slope
and
ax+by=c, -a/b is slope

A. y=3x-4, slope is 3
B. -8x+4y=1, slope=-(-8)/4=8/4=2
C. (2,6) dn (3,10), (10-6)/(3-2)=4/1=4
D. (5,-2) and (6,4), (4-(-2))/(6-5)=(4+2)/(1)=6/1=6

A. 3
B. 2
C.4
D.6

6>4>3>2

D has greatest slope (line passing throuh (5,-2) and (6,4))