Write the equation of the line that passes through the points (-1,2) and (6, 3) in slope-intercept form

So if we’re trying to get to y = mx + b we first have to find the slope using the two points using the formula :

m = y2 - y1/x2 - x1

x1 = 6
x2 = -1
y1 = 2
y2 = 3

m = 3 - 2/6 +1
m = 1/7

from this point we now have y = 1/7x + b
all we now need is “b” (intercept) and to find that we’ll plug in one of our given points and solve for b.

3 = 1/7(6) + b
b = 2.14

with the slope and the intercept we have our answer :

y = 1/7x + 2.14

hope this helps !