What is the slope-intercept form of the line passing through # (0, 6) # and # (-4, 1) #?

1 Answer

Answer:

y = 5/4x + 6

Explanation:

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 = #( y_1 - y_2)/( x_1 - x_2)#

Substitute the values of the points given in the problem

m = # ( 6-1)/ (0-(-4))#= 5/4

Now we have m and b.

#y = 5/4x+6