Answer:
The equation line is y + 3x = -10.
Step-by-step explanation:
In this question, first we have to find the slope of the equation:
The formula which we use to find the slope is:
slope = m = (y2-y1)/(x2-x1)
m = (8 + 1) / (-6 + 3)
m = 9 / (-3)
m = -3.
Now, put the value of slope and the first points (-3, -1). You can use any of the given points:
y - y1 = m(x - x1)
y + 1 = -3(x + 3)
y + 1 = -3x - 9
y + 3x = -10
This is the eqution line.
You can check if this line is true or not by putting the other points in this equation which will give the same points like,
y + 3(-6) = -10
y - 18 = -10
y = 8
So, we get the same old points (-6, 8) which we have given.
