What is the slope-intercept form of the line passing through # (0, 6) # and # (-4, 1) #?
y = 5/4x + 6
y = mx + b.
The b equals the y intercept, which is the place where x =0. The y-intercept is the place where the line "begins" on the y axis.
For this line it is easy to find the y intercept because one given point is (0,6) This point is the y intercept. So b = 6
m = the slope of the line, ( think m = mountain slope) The slope is the angle of the line.
The slope =
Substitute the values of the points given in the problem
Now we have m and b.
#y = 5/4x+6