Question

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

Answer 1

Answer:

$y=-3x+14$  or  $3x+y=14$

Step-by-step 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