Question

Graph the line whose y-intercept is -1 and whose x- intercept is 1

Answer 1

- The formula for finding the equation of a line given its x and y-intercepts is:

`\begin{gathered} -(y_c)/(x_c)=(y-0)/(x-x_c)=(y-y_c)/(x) \\ \\ where, \\ (0,y_c)\text{ is the y-intercept} \\ (x_c,0)\text{ is the x-intercept} \end{gathered}`

- Thus, we can solve the question as follows:

`\begin{gathered} -(-1)/(1)=(y-0)/(x-1) \\ \\ 1=(y)/(x-1) \\ \\ \therefore y=x-1 \end{gathered}`

Final Answer

The equation of the line is

`y=x-1`

- The graph of the equation is given below: