Question

Which statements are correct steps in finding the linear equation of a line that passes through the points (-1,7) and

(2.4) using the point slope form method? Select all that apply
y=x+6
7=-1(-1) + b
y-4=-1 (x-2)
y-7=-1(x-(-1))
y-2 = x-4
y=-X+6

Answer 1

C. y – 4 = –1 (x – 2)

D. y – 7 = –1 (x – (–1))

F. y = –x + 6

Explanation:

just took the test on edg2020 and it says C, D and F are the right answers

Answer 2

`7=-1\cdot (-1)+b`

`y-4=-1\cdot (x-2)`

`y-7=-1\cdot (x-(-1))`

`y=-x+6`

Explanation:

Find the slope of the line that passes through the points (-1,7) and (2.4):

`\text{Slope}=(7-4)/(-1-2)=(3)/(-3)=-1`

So, the equation of the line is

`y-y_1=-1\cdot (x-x_1),`

where
`(x_1,y_1)` are the coordintaes of the point from the line

or

`y=-1\cdot x+b,`

where b is y-intercept.

To find b, substitute x = -1 and y = 7:

`7=-1\cdot (-1)+b\\ \\b=7-1=6\\ \\y=-x+6`

If
`(x_1,y_1)=(-1,7),` then

`y-7=-1\cdot (x-(-1))`

If
`(x_1,y_1)=(2,4),` then

`y-4=-1\cdot (x-2)`

So correct options are

`7=-1\cdot (-1)+b`

`y-4=-1\cdot (x-2)`

`y-7=-1\cdot (x-(-1))`

`y=-x+6`