Question

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

Answer 1

-1/5x +1/2

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Answer 2

b.
`y=-(1)/(5)x+(1)/(2)`

Explanation:

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

Slope formula :m=
`(y_2-y_1)/(x_2-x_1)`

By using the formula and substitute
`y_1=(1)/(5),y_2=(7)/(50),x_1=-(1)/(2),x_2=-(1)/(5)`

Slope=
`((7)/(50)-(1)/(5))/(-(1)/(5)+(1)/(2))`

Slope=
`(-(3)/(50))/((3)/(10))`

Slope=
`-(3)/(50)* (10)/(3)`

Slope=
`-(1)/(5)`

a.
`y=-(1)/(2)x+(1)/(10)`

Compare with

`y=mx+b`

we get m=
`-(1)/(2)`

Slope=
`-(1)/(2)`

Hence, option A is false.

b.
`y=-(1)/(5)x+(1)/(2)`

Slope of given function=
`-(1)/(5)`

It is true.

c.
`y=(1)/(5)x-(1)/(2)`

Slope of given function=
`(1)/(5)`

Hence, option is false.

d.
`y=(1)/(2)x-(1)/(10)`

Slope of given function=
`(1)/(2)`

Hence, option is false.