Question

write an equation of the line . slope 0; through (-1,-2) . type answer in standard form .

Answer 1

Consider that the point-slope form suggests that the equation of a straight line having slope 'm' and passing through a point, is given by,

$y-y_1=m\cdot(x-x_1)$

Given that the slope of the line is 0,

$m=0$

Also, the line passes through the point,

$(x_1,y_1)=(-1,-2)$

Substitute the values,

$\begin{gathered} y-(-2)=0\cdot(x-(-1)) \\ y+2=0 \\ y=-2 \end{gathered}$

Thus, the equation of the line having slope 0 and passing through (-1,-2) is obtained as,

$y=-2$