Question

Find the point at which the line f(x) = - 2x – 1 intersects the line g(x) = - x

Answer 1

Explanation:

they intersect at a specific point (intersecting point).

this point is in fact a point on both lines. the point where both line equations calculate the same result.

so, the point, where both line equating are equal.

-2x - 1 = -x | adding 2x to both sides

-1 = x

so, we know, the x-coordinate of the intersection point is -1.

the y-coordinate we get by using this x-value in any of the 2 equating and calculate :

y = -x = - -1 = 1

so, the intersection point is (-1, 1).