The equation given to us is [tex] y-3=4(x-5) [/tex]. To convert it into [tex] Ax+By=C [/tex], we will have to rearrange given equation as:
[tex] y-3=4(x-5) [/tex]
[tex] y-3=4x-20 [/tex]
Adding 3 to both sides, we get:
[tex] y=4x-20+3 [/tex]
[tex] y=4x-17 [/tex]
Now, adding 17 to both sides and subtracting y from both sides we get:
[tex] 17=4x-y [/tex]
Or, [tex] 4x-y=17 [/tex]
This is in the required form of Ax+By=C, where, A=4, B=-1 and C=17
