is the same as picking from a points set hmmm, notice the table is an x,y table, so we can just pick any two points to get the slope and thereby the equation.

let's use (100, 36.5) and (300, 106.5)

$\bf (\stackrel{x_1}{100}~,~\stackrel{y_1}{36.5})\qquad (\stackrel{x_2}{300}~,~\stackrel{y_2}{106.5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{106.5-36.5}{300-100}\implies \cfrac{70}{200}\implies \cfrac{7}{20} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-36.5=\cfrac{7}{20}(x-100) \\\\\\ y-36.5=\cfrac{7}{20}x-35\implies y=\cfrac{7}{20}x+1.5$

and for this one let's pick say (35, 88) and (45, 82)

$\bf (\stackrel{x_1}{35}~,~\stackrel{y_1}{88})\qquad (\stackrel{x_2}{45}~,~\stackrel{y_2}{82}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{82-88}{45-35}\implies \cfrac{-6}{10}\implies -\cfrac{3}{5} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-88=-\cfrac{3}{5}(x-35) \\\\\\ y-88=-\cfrac{3}{5}x+21\implies y=-\cfrac{3}{8}x+109$

5 0

3 years ago

Please answer the following questions

wolverine [178]

Answer:

True????????????????????

6 0

3 years ago

Read 2 more answers

Salma, joe, and alan sent a total of 106 text messages during the weekend, salma sent 9 fewer messages than alan. Joe sent 3 tim

krek1111 [17]

Answer:

Salma, joe, and alan sent 14, 69, and 23 text messages respectively

Step-by-step explanation:

Given that Salma, joe, and alan sent a total of 106 text messages during the weekend, it means that

s + j + a = 106 where s, j, and a are the number of messages sent by Salma, joe, and alan respectively

Given salma sent 9 fewer messages than alan

s = a - 9

Joe sent 3 times as many messages as alan

j = 3a

hence

a - 9 + 3a + a = 106

5a - 9 = 106

5a = 106 + 9

5a = 115

Divide both sides by 5

a = 115/5

= 23

s = 23 - 9

= 14

j = 3* 23

= 69

5 0

3 years ago