Question 55464
Ax+By=C [General equation of a line]
(y-y2)=m(x-x2) [Point-slope equation of a line.]
m=(y-y2)/(x-x2) [Formula for the slope of a line.]
.
.
(1,2), (6,7) [Find the slope of the line with these two points]
m=(7-2)/(6-1)=5/5=1 [Plug-in the values]
.
(y-7)=(1)(x-6) [Use the point-slope formula; plug-in the points and slope]
y-7=x-6 [Isolate the numbers]
y-x=-6+7
-x+y=1 [General equation of a line]
.
Check by plugging either set of coordinate points into the formula:
Example: Use (1, 2)
(-(1)+(2))=1
1=1 [checks out]
.
Use (6, 7)
-(6)+7=1
1=1 [Also checks out]