Question

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

Answer 1

Answer:

$y=-3x+3$

Step-by-step explanation:

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

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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.

$m=\frac{0-9}{1-(-2)} =\frac{-9}{1+2} =\frac{-9}{3} =-3$

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):

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