Answer:
the equation of the line in slope-intercept form is:
Step-by-step explanation:
First start by finding the slope of the segment that joins those two points using the general formula for the slope of the segments between two points and
on the plane:
Then for our case, calling (-4, 6) = and (-8, 10) =
, we have:
Now, knowing this, we can find the equation of the line by using the "point-slope" form of a line [of slope "m" and going through the point that tells us:
We will be then using the found slope (-1) and for example one of the given points: (-4 , 6), thus: