write an equation of the line that passes through the given point and is parallel to the line given (9,4) y-x=3

Question

Whats the answer please help me

Answer 1

The line parallel to a given one has the same coefficients in front of x and y, but different free term. So the equation for your line will have the following form:

 

y-x=c, where c is to be found. Since this line must pass through point (9,4), its coordinates must satisfy the equation of the line, that is, being plugged into the equation, they shall result in true identity. This means that:

 

9-4=c. So c=5.

 

Answer: y-x=5