Question

Please help me ASAP

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)

Answer 1

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 2

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

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.