SOLUTION: Write the equation of the line that passes through point (0,9) with a slope of 6.

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Question 45125This question is from textbook
: Write the equation of the line that passes through point (0,9) with a slope of 6. This question is from textbook

Found 2 solutions by Nate, abhijitvakil:
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
Slope = 6
Y-intercept = 9
y+=+6x+%2B+9
+graph%28+600%2C+600%2C+-10%2C+10%2C+-10%2C+10%2C+6x+%2B+9+%29+

Answer by abhijitvakil(7) About Me  (Show Source):
You can put this solution on YOUR website!
Equation of a line through a givin point (a,b) and having slope m i.e. tan∂ = m is given by :
y-b = m(x-a) .......... (1)
In the given problem we have the values as :
m = 6
a = 0
b = 9
substituting in (1) above, we get
y-9 = 6(x-0)
or
y-9 = 6x
or
6x-y+9 = 0 ........... (2)
This is the required equation to the line.
Here the only trick was to remember the equation which represents a straight line passing through a given point & having a certain slope.