How do you find the x and y intercept given (-6, 2) and (-3, 4)?

1 Answer
Nov 10, 2015

Answer:

x-intercept: #(-9)#
y-intercept: #6#

Explanation:

Assuming the equation form we are looking for is linear
then the slope is constant

Slope between the general point #(x,y)# and #(-6,2)# is the same as between #(-3,4)# and #(-6,2)#

#(y-2)/(x+6) = (4-2)/(-3+6) = 2/3#

#rArr 3(y-2) = 2(x+6)#

#rArr 3y-6 = 2x+12#

#rArr 3y = 2x+18#

When #y=0# (the x-intercept) #3(0)=2x+18 rarr x=-9#

When #x=0# (the y-intercept) #3y=2(x)+18 rarr y= 6#