Which linear function represents the line given by the point-slope equation y + 1 = –3(x – 5)?
Accepted Solution
A:
Answer:[tex]y=-3x+14[/tex] or [tex]3x+y=14[/tex]Step-by-step explanation:we have[tex]y+1=-3(x-5)[/tex] ----> equation of the line into point-slope formstep 1Convert to slope intercept formThe equation of the line into slope intercept form is equal to[tex]y=mx+b[/tex]so[tex]y+1=-3(x-5)[/tex][tex]y+1=-3x+15[/tex][tex]y=-3x+15-1[/tex][tex]y=-3x+14[/tex] ----> equation of the line into slope intercept formstep 2Convert to standard formThe equation of the line into standard form is equal to[tex]Ax+By=C[/tex]sowe have[tex]y=-3x+14[/tex]Adds 3x both sides[tex]3x+y=14[/tex] ----> equation of the line in standard form