Question

Choose the equation of the horizontal line that passes through the point (-2,-1)

A) y= -1
B) y= -2
C) x= -2
D) x= -1

Answer 1

y =-1

Explanation:

We are given a point (-2,-1)

Also given that a horizontal line passes through the above point.

We have to find the equation of the horizontal line.

We know that any straight line in xy plane is of the form

y = mx+b where m=slope of line and b = y intercept.

Here given that the line is horizontal and hence the angle it makes with x axis is 0.

Slope of line= m = tan 0 =0

Hence equation of line using point slope form is

y-y1 = m(x-x1) . Here m =0 and (x1,y1) = (-2,-1)

Hence equaiton of line is

y+1 =0(x+2)

Or y =-1

So option A is right answer.