The answer is y = -2/7x + 1
I think the easiest way to do this is through point slope form, but first you’ll need to find your slope.
To make it easier first you want to label your points x1, y1, x2, y2
7 is x1
-1 is y1
21 is x2
-5 is y2
the formula to find the slope is
y2-y1
m= ———
x2-x1
then you’re going to plug in all the numbers
it should look like this
-5 + 1
m= ———
21-7
hint: two negative makes a positive that’s how it ended up being plus 1
then do you math.
you should end up with -4/14
which simplifies to -2/7
NOW you need to find the “b” by doing point slope
formula: y-y1 = m(x - x1)
you’re only plugging things in for y1, m, and x1.
so you’re equations should look like this
y + 1 = -2/7(x - 7)
REMEMBER( two negatives make a positive.. that’s why it’s + 1 and not -1)
Distribute -2/7
y+1 = -2/7x + 2
Subtract 1 from 2
y = -2/7x + 1
Andd done.