SOLUTION: A line with an inclination of 45 degree passes through the point (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6?

Algebra ->  Points-lines-and-rays -> SOLUTION: A line with an inclination of 45 degree passes through the point (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6?      Log On


   

Question 1018049: A line with an inclination of 45 degree passes through the point (-5/2, -9/2). What is the x-coordinate of a point on the line if its corresponding y-coordinate is 6?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
An inclination of 45 translates to a slope of 1.
m=tan%2845%29=1
So using the point slope form of a line,
y-%28-9%2F2%29=1%28x-%28-5%2F2%29%29
y%2B9%2F2=x%2B5%2F2
x-y=9%2F2-5%2F2
x-y=2
So then when y=6,
x-6=2
x=8
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