Text Write the equation of the line through A(1,2)A(1,2)A(1,2) and B(5,10)B(5,10)B(5,10). Solution Slope: m=10−25−1=84=2m=\dfrac{10-2}{5-1}=\dfrac{8}{4}=2m=5−110−2=48=2. Line: y−2=2(x−1)⇒y=2xy-2=2(x-1)\Rightarrow y=2xy−2=2(x−1)⇒y=2x. y=2x \boxed{\,y=2x\,}y=2x