Answer:
11x - y = - 24
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the line first find the slope
Slope of the line using points
(-2,2)and(-3,-9) is
[tex]m = \frac{ - 9 - 2}{ - 3 + 2} = \frac{ - 11}{ - 1} = 11[/tex]
Then use the formula
y - y1 = m(x - x1)
where
m is the slope
( x1 , y1) can be any of the points
Equation of the line using point (-2,2) and slope 11 is
y - 2 = 11 ( x + 2)
y - 2 = 11x + 22
11x - y = - 2 - 22
We have the final answer as
11x - y = - 24
Hope this helps you
