Question

The table below represents a linear function.

x y
-1 5
1 9
3 13
5 17
Which function has a greater slope and a greater y-intercept than the linear function represented in the table.
a) y=2x+8.5
b) y= 3x+7.5
c) y= 5x+6.5
d) y= 10x+5.5

Answer 1

(-1,5)(1,9)
slope = (9 - 5) / (1 - (-1) = 4 / (1 + 1) = 4/2 = 2

y = mx + b
slope(m) = 2
use any of ur points in the table....(1,9)...x = 1 and y = 9
now we sub ad find b, the y int
9 = 2(1) + b
9 = 2 + b
9 - 2 = b
7 = b

so ur equation of the table is : y = 2x + 7.....where the slope = 2 and the y intercept = 7

so, the equation with the greater slope and the greater y int is :
y = 3x + 7.5....this has a slope of 3 and a y int of 7.5