Mathematics: a table contains the ordered pairs (3, 42.25) and (5, 50.75). if the relationship in the table is linear, explain how to find the initial value.

This is a robot. try again lol. maybe you attached the wrong image....

a table contains the ordered pairs (3, 42.25) - id342252626319, dulcejuarez2005

Ответ:

Otod207

04.01.2022

Mathematics

The initial value is 29.5

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept ( also called initial value)

we have the points

(3,42.25) and (5,50.75)

Find the slope m

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{50.75-42.25}{5-3}$

$m=\frac{8.5}{2}$

m=4.25

substitute in the equation

y=4.25x+b

Find the value of b

with the point (3,42.25) ( or the other given point)

substitute the value of x and the value of y in the equation and solve for b

42.25=4.25(3)+b

42.25=12.75+b

b=42.25-12.75

b=29.5

substitute

The linear equation is

y=4.25x+29.5

The initial value is the y-intercept (value of y when the value of x is equal to zero)

For x=0

y=4.25(0)+29.5

y=29.5

Therefore

The initial value is 29.5

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a table contains the ordered pairs (3, 42.25) and (5, 50.75). if the relationship in the table is linear, explain how to find the initial value.

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