Question

Find the equation of a straight line passing through (0,-2)

and the point of intersection of x + y = -1 and y = -2x.​

Answer 1

Answer:

y = -2

Step-by-step explanation:

Now, first find the second point the line passes through, by solving the two equations.

x+ y = -1

y= -2x

Replacing y =-2x in the first equation, we get x =1, y = -2.

Therefore, the second point is (1,-2)

Now, to find the equation of a line passing through (0,-2) and  (1,-2)

Apply two point formula

y-y1 = ( (y2-y1)/ (x2-x1) ) * (x-x1)

where x1 = 0, y1 = -2, x2 = 1, y2 = -2.

Thus, y - (-2) = 0 * ( x)

Thus, y =-2 is the equation.