A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y for this line.
The linear function rule is y=?

A line passes through the points (4,17) and (7,20).

The linear function rule is y= 1x+13

Given :

A line passes through the points (4,17) and (7,20).

The linear function is y=mx+b where m is the slope

lets find out slope using formula

Slope of the line using the given points is 1

Lets pick any one point (4,17) and use slope to find function rule y

y=mx+b

x is 4  and y is 17  and m=1

Replace the value of 'b' and write the equation

The linear function rule is y= 1x+13

Learn more :  link

The linear function rule is

Step-by-step explanation:

A line passes through the points (4,17) and (7,20). Write a linear function rule in terms of x and y

for this line.

The function rule is of form: y=mx+b

Where m is slope and b is y-intercept

Finding slope using formula:

We have

Putting values and finding slope

Finding y-intercept b

Using the point (4,17) to find y-intercept b

So, the linear function rule is:

The linear function rule is

22, 28, 34, 40, 46

b)   f(n) = 6n + 16

n = what is the number of the row ( 22 would be row 1) so if we replaced n with 1, we would get 22

c)   the 14th row will have 100 seats

(1)   (2)   (3)   (4)   (5)   (6)   (7)   (8)   (9)   (10) (11) (12) (13) (14)

22 | 28 | 34 | 40 | 46 | 52 | 58 | 64 | 70 | 76 | 82 | 88 | 94 | 100