Question

Answer for d please

Answer 1

Answer:

$b=a+4$

Step-by-step explanation:

First calculate the slope by using the slope formula:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

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

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

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

$\implies m=\dfrac{b_2-b_1}{a_2-a_1}=\dfrac{15-10}{11-6}=1$

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

$\implies b=a+4$

Answer 2

• See Below.

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

slope:

$\sf \boxed{\frac{y2-y1}{x2-x1} }$

using the formula:

$\frac{15-10}{11-6}$

$\frac{5}{5}$

$1$

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