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dezoksy [38]
4 years ago
11

Plz answer both for me plz

Mathematics
1 answer:
Kazeer [188]4 years ago
4 0

Answer:

\large\boxed{\text{Table 1:}\ y=4x+1}\\\boxed{\text{Table 2:}\ y=\dfrac{1}{2}x-1}

Step-by-step explanation:

Tables show linear functions.

The slope-intercept form of an equation of a line:

y=mx+b

<em>m</em> - slope

<em>b</em> - y-intercept → (0, b)

The formula of a slope:

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

===================================================

Table 1:

(0, 1) → b = 1, (1, 5)

m=\dfrac{5-1}{1-0}=\dfrac{4}{1}=4\\\\y=4x+1

Table 2:

(4, 1), (6, 2)

m=\dfrac{2-1}{6-4}=\dfrac{1}{2}\\\\y=\dfrac{1}{2}x+b

Put the coordinateso f the point (4, 1) to the equation of a line:

1=\dfrac{1}{2}(4)+b

1=2+b         <em>subtract 2 from both sides</em>

-1=b\to b=-1

y=\dfrac{1}{2}x-1

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