SOLUTION: A line passes through the point (2,9) and has a slope of -5/2. Write an equation

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Question 1133592: A line passes through the point (2,9) and has a slope of -5/2. Write an equation
Found 2 solutions by josgarithmetic, addingup:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Other points are (x,y).

%28y-9%29%2F%28x-2%29=-5%2F2--------Do whatever you need with this.

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
y = mx + b
Where: m is the slope, and b is the y-intercept
Since m (slope) is given, we can start filling in the equation:
y = -5/2x + b
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Next, we have the point (2,9) that says when x of the line is 2, y is 9
(2,9): y = mx + b, substitute:
9 = -5/2(2) + b
Solve for b:
9 = -5 + b
b = 14
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
So now we fill in the numbers:
y = mx + b
9 = -5/2(2) + 14