What is the slope-intercept form of the line passing through # (-2, -1)# and #(-6, 8) #?

1 Answer
Oct 31, 2016

Answer:

The slope-intercept form of the line passing through the two points is #4x+9y+22=0.#

Explanation:

Slope (m) of the line joining the two points #=(y_2-y_1)/(x_2-x_1# #=(-6+2)/(8+1)# #=-4/9#.

#:.#In slope-intercept form, #(y-y_1)=m*(x-x_1)#
#:.(y+2)=-4/9*(x+1)#
#:.9*(y+2)=-4*(x+1)#
#:.9y+18=-4x-4#
#:.4x+9y+22=0.#

#:.#The slope-intercept form of the line passing through the two points is #4x+9y+22=0.# (answer).