Respuesta :

fieryanswererft
  • See Below.

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

slope:

[tex]\sf \boxed{\frac{y2-y1}{x2-x1} }[/tex]

using the formula:

[tex]\frac{15-10}{11-6}[/tex]

[tex]\frac{5}{5}[/tex]

[tex]1[/tex]

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
semsee45

Answer:

[tex]b=a+4[/tex]

Step-by-step explanation:

First calculate the slope by using the slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

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

[tex]y-y_1=m(x-x_1)[/tex]

Question d

[tex](a_1,b_1)=(6,10)[/tex]

[tex](a_2,b_2)=(11,15)[/tex]

[tex]\implies m=\dfrac{b_2-b_1}{a_2-a_1}=\dfrac{15-10}{11-6}=1[/tex]

[tex]\implies b-10=1(a-6)[/tex]

[tex]\implies b=a+4[/tex]

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