Makenzie graphs the line y= 2x + 13. Which statement is true? The point (-4,5) is on the line
The point (5,-4) is on the line
There are no points on a line
There is no way to know because the graph is not given

The point (-4,5) is on the line

Step-by-step explanation:

You can replace the x and y values to determine if it is a true statement

First Statement

5= 2(-4)+13 -> 5= -8+13 -> 5=5 true

Second Statement

-4=2(5)+13 -> -4= 10+13 -> -4 ≠ 23 false

You can automatically eliminate the next two answers because you already found that the first statement is true and because you can find points using an equation.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺