How do you write an equation of a line given slope -3 and passes through (5,2)?

1 Answer
Daft
Mar 3, 2017

#y=-3x+17#

Explanation:

The general formula for a line is #y=mx+c# where #m=# gradient and #c=# the #y# intercept.

Using the numbers you have been given in the question, you can put these numbers into the general formula to calculate #c#.

The gradient is -3
From the coordinates given, the #x# is 5 and #y# is 2.

#2=-3*5+c#

#2=-15+c#

#c=17#

Now you have worked out the value of #c#, (the #y# intercept), you can give the equation of the line, by inserting #-3# in place of the #m# and #17# in place of the #c#:

#y=-3x+17#

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