Let a, b, c, and d be real numbers with a, c 6= 0. prove that the lines y = ax+b and y = cx + d have the same x-intercept if and only if ad = bc

Step-by-step explanation:

We have got the lines :

Both lines intercept the x-axis in the point :

In all point from x-axis the y-component is equal to 0.

We replace the I point in the lines equations:

From the first equation :

From the second equation :

Then

Finally :

y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc

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step-by-step explanation: