Solution
- The formula for finding the equation of a line given its x and y-intercepts is:
[tex]\begin{gathered} -\frac{y_c}{x_c}=\frac{y-0}{x-x_c}=\frac{y-y_c}{x} \\ \\ where, \\ (0,y_c)\text{ is the y-intercept} \\ (x_c,0)\text{ is the x-intercept} \end{gathered}[/tex]- Thus, we can solve the question as follows:
[tex]\begin{gathered} -\frac{-1}{1}=\frac{y-0}{x-1} \\ \\ 1=\frac{y}{x-1} \\ \\ \therefore y=x-1 \end{gathered}[/tex]Final Answer
The equation of the line is
[tex]y=x-1[/tex]- The graph of the equation is given below:
