# Linear equations

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1. Find an equation of the line with the given slope and containing the given point.

m =2/3, (8,7)

a. y = (2/3)x + 8

b. y = 2/3)x + 8

c. y = 5/3

d. y = (2/3)x + 5/3

2. Graph the linear inequality

x + y less than = _6

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## SOLUTION This solution is **FREE** courtesy of BrainMass!

1. the answer is d: y = 2/3x + 5/3

equation = y = mx + c where m is gradient (given as 2/3) and c is the gradient (where line crosses the y axis)

found by subbing values given into the rearrange equation:

y = mx + c ---> c = y-mx = c ---> 7 - (2/3)8 = 5/3

so

y = (2/3)x + 5/3

2.

rearrange x + y < -6 to make it a function of y

(assume < is =)

y = x - 6

plot attached

I hope this helps and please request me as an OTA in the future (my OTA number is 106478) if you need any further help and a quick response

Many thanks,

Alan Robinson,PhD

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