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Which ordered pairs are on the line with equation ​ y+6.75=0.25(x−1) ?

Select each correct answer.


​ (2, −6)


​ (−3, −7.75)


​ (4, −6)


​ (7, −5)

Verified Answer :

ampofoeugenia7

First,let's find the slope-intercept form of equation which is y=mx+b, where y and x are coordinates, m is the slope and ,c is the y-intercept
y+6.75=0.25(x-1)                                                   y=0.25(2)-6.5
y+6.75-6.75=0.25x -0.25 -6.75                            y=-6
y=0.25x-6.5   
(2,-6)  is the only correct answer I think is on the line with this equation.

Answer:

Option B and C, i.e., (-3,-7.75) and (4,-6)

Step-by-step explanation:

The given equation is

\(y+6.75=0.25(x-1)\)

We need to find ordered pairs which are on the line.

The given equation can be rewritten as

\(y=0.25x-0.25-6.75\)

\(y=0.25x-7\)

For x=2,

\(y=0.25(2)-7=0.5-7=-6.5 eq -6\)

For x=-3,

\(y=0.25(-3)-7=-0.75-7=-7.75\)

For x=4,

\(y=0.25(4)-7=1-7=-6\)

For x=7,

\(y=0.25(7)-7=1.75-7=-5.25 eq 5\)

Therefore, points (-3,-7.75) and (4,-6) are on the line. Options B and C are correct.

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