Question #05a7b

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Answer 1 · 2016-12-12T13:29:14

a = -2

Step 1) Give the point (-10, -6) and the slope of #2# we can use the point-slope form to find the equation of the line:

#y - -6 = 2(x - - 10)#

#y + 6 = 2(x + 10)#

#y + 6 = 2x + 20#

#y + 6 - 6 = 2x + 20 - 6#

#y + 0 = 2x + 14#

#y = 2x + 14#

Step 2) Substitute #-8# for #x# into the equation to calculate #y# which is the value of #a#:

#y = (2 xx -8) + 14#

#y = -16 + 14#

#y = -2#