Question

Use a graph paper of this question.
The graph of a linear equation in x and y, passes through $A(-1,-1)$ and $B(2,5)$. From your graph, find the value of h and k, if the line passes through $(h,4)$ and $(\frac{1}{2},k)$.

Answer 1

$e{q}^{n}ofline\left(\frac{y+1}{x+1}\right)=\left(\frac{5+1}{2+1}\right)or\left(\frac{y+1}{x+1}\right)=\left(\frac{6}{3}\right)=\left(\frac{2}{1}\right)\therefore y+1=2x+2ory=2x+1as(h,4)liesonline\therefore 4=2h+1\therefore h=\left(\frac{5}{2}\right)as\left(\right(\frac{1}{2}),k)\therefore k=2\left(\frac{1}{2}\right)+1=2$