Question

Plz answer both for me plz

Answer 1

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:

$y=mx+b$

m - slope

b - y-intercept → (0, b)

The formula of a slope:

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

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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:

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

$1=2+b$         subtract 2 from both sides

$-1=b\to b=-1$

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