Question

Find the equation (in terms of x ) of the line through thepoints (-2,9) and (1,0)y =

Answer 1

To answer this question we will use the following formula for the equation of a line that passes through two given points:

`y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1).`

Therefore the equation that passes through the points (1,0) and (-2,9) is:

`y-0=(9-0)/(-2-1)(x-1).`

Simplifying the above result we get:

`\begin{gathered} y=(9)/(-3)(x-1), \\ y=-3(x-1), \\ y=-3x+3. \end{gathered}`

Answer:

`y=-3x+3.`