Answered

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

Sagot :

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:

View image KhristianJ537506
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