Question

Write an equation for the line with passing through ( -2, 9) and ( 1, 0)

Answer 1

`y=-3x+3`

Explanation:

We start by finding the slope of the line, which is given by the formula:

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

The points (x1, y1) and (x2, y2) are represented by the pairs given: (-2, 9) and (1, 0). WE can substitute this in and simplify.

`m=(0-9)/(1-(-2)) =(-9)/(1+2) =(-9)/(3) =-3`

Using the point-slope formula,
`y-y_(1) =m(x-x_(1) )`, we can find the equation. We can substitute the point (-2, 9) for (x1, y1):

`y-9=-3(x+2)\\y-9=-3x-6\\y=-3x+3`