Question

Which linear function has the same slope as the one that is represented by the table?

Answer 1

Answer:

-1/5x +1/2

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Answer 2

Answer:

b.$y=-\frac{1}{5}x+\frac{1}{2}$

Step-by-step explanation:

We have to find the linear which has same slope  as the slope represented by the table.

Slope formula :m=$\frac{y_2-y_1}{x_2-x_1}$

By using the formula and substitute $y_1=\frac{1}{5},y_2=\frac{7}{50},x_1=-\frac{1}{2},x_2=-\frac{1}{5}$

Slope=$\frac{\frac{7}{50}-\frac{1}{5}}{-\frac{1}{5}+\frac{1}{2}}$

Slope=$\frac{-\frac{3}{50}}{\frac{3}{10}}$

Slope=$-\frac{3}{50}\times \frac{10}{3}$

Slope=$-\frac{1}{5}$

a.$y=-\frac{1}{2}x+\frac{1}{10}$

Compare with

$y=mx+b$

we get m=$-\frac{1}{2}$

Slope=$-\frac{1}{2}$

Hence, option A is false.

b.$y=-\frac{1}{5}x+\frac{1}{2}$

Slope of given function=$-\frac{1}{5}$

It is true.

c.$y=\frac{1}{5}x-\frac{1}{2}$

Slope of given function=$\frac{1}{5}$

Hence, option is false.

d.$y=\frac{1}{2}x-\frac{1}{10}$

Slope of given function=$\frac{1}{2}$

Hence, option is false.