Plz answer both for me plz

Question

asked Jan 25, 2020 114k views

1 Answer

Igor Turman · Answer 1 · 2020-01-31T09:40:25+0000

Answer:

$\large\boxed{\text{Table 1:}\ y=4x+1}\\\boxed{\text{Table 2:}\ y=(1)/(2)x-1}$

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=(y_2-y_1)/(x_2-x_1)

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Table 1:

(0, 1) → b = 1, (1, 5)

$m=(5-1)/(1-0)=(4)/(1)=4\\\\y=4x+1$

Table 2:

(4, 1), (6, 2)

$m=(2-1)/(6-4)=(1)/(2)\\\\y=(1)/(2)x+b$

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

1=(1)/(2)(4)+b

1=2+b subtract 2 from both sides

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

y=(1)/(2)x-1