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
© BrainMass Inc. brainmass.com December 24, 2021, 8:12 pm ad1c9bdddf>https://brainmass.com/math/linear-algebra/linear-equation-problems-256260