SOLUTION: A family of lines have equations of the form {{{ x/a - y/12 = 4 }}} where a is a non-zero number. b Find the gradient of the line in terms of a. c Find the value of a if the

Algebra ->  Linear-equations -> SOLUTION: A family of lines have equations of the form {{{ x/a - y/12 = 4 }}} where a is a non-zero number. b Find the gradient of the line in terms of a. c Find the value of a if the       Log On


   



Question 1017319: A family of lines have equations of the form +x%2Fa+-+y%2F12+=+4+ where a is a non-zero number.
b Find the gradient of the line in terms of a.
c Find the value of a if the gradient is

Also what does it mean if it says 'In terms of'
Thanks!

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
"Gradient" would mean "slope".

+x%2Fa+-+y%2F12+=+4+
12a%28x%2Fa-y%2F12%29=12a%2A4
12x-ay=48a
Slope is highlight%2812%2Fa%29.


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Knowing how Standard Form works is helpful.