Question

Write the equation of the line that passes through the point (2, -1) and has a slope of

-3

A. Y=3x+5
B. Y=-3x+5
C. Y=-3x - 5
D. Y=3x -5

Answer 1

Let's recall that , the equation of line that passes through the point
`{\bf (x_(1),y_(1))}` and has a slope m is
`{\bf y-y_(1)=m(x-x_(1))}`

Now using the same concept in our question , we have ;

`{:\implies \quad \sf Y-(-1)=-3(x-2)}`

`{:\implies \quad \sf Y+1=-3x+6}`

`{:\implies \quad \sf Y=-3x+6-1}`

`{:\implies \quad \bf \therefore \quad \underline{\underline{Y=-3x+5}}}`

Hence , Option B) Y = -3x + 5 is correct :D