Question

a line AB passe through the point c(-2,3) and is parallel to the line y-1 equal-1/2(x+1). write the equation of line AB in slope-point form

Answer 1

Because the line AB is parallel to the line :
\[y-1=\frac12(x+1)\]
then, the two lines have the same slope m which is 1/2.
So :
\[m=\frac12\]
Now, the line AB passe through the point C(-2,3).
So we can say :
\[y-3=m(x-(-2))\]
So :
\[y-3=\frac12(x+2)\]

Answer 2

thank u