# What is the slope-intercept form of the line passing through # (-4. 1) # and #(-3, 5) #?

##### 1 Answer

Dec 20, 2015

#y=4x+17#

#### Explanation:

Given-

#x_1=-4#

#y_1=1#

#x_2=-3#

#y_2=5#

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

#(y-1)=(5-1)/[(-3)-(-4)]=(x-(-4))#

#(y-1)=(5-1)/[-3+4]=(x+4)#

#y-1=4(x+4)#

#y-1=4x+16#

#y=4x+16+1#

#y=4x+17#