Worth 30
consider the linear function that is represented by the equation y= 4x+5 and the linear function that is represented by the table below.
x y
2 16
4 26
6 36
8 46
which statement is correct regarding their slopes and y-intercepts?

a)the function that is represented by the equation has a steeper slope and a greater y-intercept.
b)the function that is represented by the equation has a steeper slope, and the function that is represented by the table has a greater y-intercept.
c)the function that is represented by the table has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
d)the function that is represented by the table has a steeper slope and a greater y-intercept.

Step-by-step explanation:

y = 4x + 5

in y = mx + b form, the slope is in the m position and the y int is in the b position...so the slope is 4 and the y int is 5 or (0,5)

now we pick 2 sets of points off ur chart and use the slope formula ti find the slope.

slope = (y2 - y1) / (x2 - x1)

(2,16)...x1 = 2 and y1 = 16

(4,26)..x2 = 4 and y2 = 26

now sub

slope = (26 - 16) / (4 - 2)10/2 = 5

to find the y int, we must use one set of points, our slope, and y = mx + b

y = mx + b

slope(m) = 5

use any point(2,16)...x = 2 and y = 16

now sub and find b, the y int

16 = 5(2) + b

16 = 10 + b

16 - 10 = b

6 = b...so the y int is 6, or (0,6)

equation : slope = 4 and y int = 5

table : slope = 5 and y int = 6

D: The function that is represented by the table has a steeper slope and a greater y int <=== ur answer

answer: y = 3/2 x - 3

y = 1/8 x - 3/4 that would be your correct option

step-by-step explanation: w