To answer this question we will use the following formula for the equation of a line that passes through two given points:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1).[/tex]
Therefore the equation that passes through the points (1,0) and (-2,9) is:
[tex]y-0=\frac{9-0}{-2-1}(x-1).[/tex]
Simplifying the above result we get:
[tex]\begin{gathered} y=\frac{9}{-3}(x-1), \\ y=-3(x-1), \\ y=-3x+3. \end{gathered}[/tex]
Answer:
[tex]y=-3x+3.[/tex]
