Question

find the equation of the line in standard form that passes through the following points. Eliminate fractions from equation and simplify the answer. (5,11) and (0,-12)

Answer 1

Let's first find the slope of the line, the slope will be

`(11+12)/(5-0)=(23)/(5)`

then since the line passes throught (0,-12) the the line equation in slope-point form is

`y+12=(23)/(5)x`

multiplying both sides by 5, we obtain

`5y+60=23x`

now we pass the 5y to the right side , obtaining the final answer:

`23x-5y=60`