Find the point at which the line fx 4x 9 intersects the l

Find the point at which the line f(x) = - 4x - 9 intersects the line g(x) = - 3x - 7

For finding the point of intersections of both the lines, we have to set them equal to each other.

-4x - 9 = -3x - 7

Assing 3x on both sides,

-x - 9 = -7

Adding 9 on both sides,

-x = 2

Multiply both sides by -1,

x= -2.

Substitute this in f(x) (or in g(x)),

y =f(-2) = -4(-2) - 9 = 8-9 = -1

So the point of intersection = (x,y) = (-2,-1)