Question

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

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