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

Sep 7, 2016

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 = $\frac{{y}_{1} - {y}_{2}}{{x}_{1} - {x}_{2}}$

Substitute the values of the points given in the problem

m = $\frac{6 - 1}{0 - \left(- 4\right)}$= 5/4

Now we have m and b.

#y = 5/4x+6