Question

Answer for d please

Answer 1

• See Below.

coordinates: (6,10), (11,15)

slope:

`\sf \boxed{(y2-y1)/(x2-x1) }`

using the formula:

`(15-10)/(11-6)`

`(5)/(5)`

`1`

equation:

y - y1 = m ( x - x1 )

y - 10 = 1(x-6)

y = x -6 + 10

y = x + 4

Sentence:

y is increasing by 1 with every increase in x by 1

• unit rate of score increasing: 1

Answer 2

`b=a+4`

Explanation:

First calculate the slope by using the slope formula:

`m=(y_2-y_1)/(x_2-x_1)`

where m is the slope and
`(x_1,y_1)` and
`(x_2,y_2)` are two ordered pairs of the set.

Then use the point-slope form of the linear equation:

`y-y_1=m(x-x_1)`

Question d

`(a_1,b_1)=(6,10)`

`(a_2,b_2)=(11,15)`

`\implies m=(b_2-b_1)/(a_2-a_1)=(15-10)/(11-6)=1`

`\implies b-10=1(a-6)`

`\implies b=a+4`