The value of the card was $13 when he originally purchased it.
Required equation in slope intercept form is: 
Step-by-step explanation:
Given
Let m denote the slope of line
m = 5
the line passes though (1,9)
Slope-intercept form of equation of line is:

Putting m=5 in the equation

Putting (1,9) in the equation

Putting the value of b

Hence,
Required equation in slope intercept form is: 
Keywords: Equation, linear equation
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15(j - 3) + 3j < 45
15j - 45 + 3j < 45
18j < 45 + 45
18j < 90
j < 90/18
j < 5