Question

Find the value of k so that the line through the given points has slope m. (K,k+1), (3,2); m=3

Answer 1

WELCOME TO OPENSTUDY!!

Answer 2

remember
\[slope/m=\frac{ y _{1}-y _{2} }{ x _{1}-x _{2} }\]

Answer 3

plug in your values

\[3=\frac{ (k+1)-2 }{ k-3 }\]

Answer 4

simplify the numberator
\[3=\frac{ k-1 }{ k-3 }\]

Answer 5

multiply both sides by k-3
so
3(k-3)=k-1
distribute
3k-9=k-1
subtract k on both sides
2k-9=-1
add 9 to both sides
2k=8
divide both sides by 2

k=?