What is the equation of the line with slope # m=5/9 # that passes through # (2,5) #?

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Answer 1 · 2016-06-24T19:29:11

#y= (5x)/9 + 3 8/9#

There are two methods you can use.

Method 1.
Substitute m, x and y into #y=mx +c# to find c.

#5 =5/9(2) + c#

#5 = 10/9 +c " "10/9 = 1 1/9#

#5 - 1 1/9 = c#

#c = 3 8/9#

Equation: # y= (5x)/9 + 3 8/9#

Method 2.
Substitute m, x and y into the formula

#y-y_1 = m(x-x_1)#

#y -5 = 5/9(x-2)#

#" "y= (5x)/9 -10/9 +5#

#" " y= (5x)/9 + 3 8/9#