Question

Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?

Answer 1

`y=-3x+14` or
`3x+y=14`

Explanation:

we have

`y+1=-3(x-5)` ----> equation of the line into point-slope form

step 1

Convert to slope intercept form

The equation of the line into slope intercept form is equal to

`y=mx+b`

so

`y+1=-3(x-5)`

`y+1=-3x+15`

`y=-3x+15-1`

`y=-3x+14` ----> equation of the line into slope intercept form

step 2

Convert to standard form

The equation of the line into standard form is equal to

`Ax+By=C`

so

we have

`y=-3x+14`

Adds 3x both sides

`3x+y=14` ----> equation of the line in standard form