Question

If points (0,1) and (1,0) lie on the graph of the equation y=mx+c then find values of m and c
URGENT
Pls answer

Answer 1

$\textbf{Given:}$

$\textsf{(0,1) and (1,0) lie on the line y=mx+c}$

$\textbf{To find:}$

$\textsf{The values of m and c}$

$\textbf{Solution:}$

$\textsf{Since the points (0,1) and (1,0) lie on the line y=mx+c, we have}$

$\mathsf{1=m(0)+c}$

$\implies\boxed{\mathsf{c=1}}$

$\mathsf{and}$

$\mathsf{0=m(1)+c}$

$\mathsf{0=m+c}$

$\mathsf{m=-c}$

$\implies\boxed{\mathsf{m=-1}}$

$\textbf{Answer:}$

$\textsf{m=-1 and c=1}$