SOLUTION: find an equation of the line having the given slope and containing the given point m=8/9, (5, -4)

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Question 263490: find an equation of the line having the given slope and containing the given point
m=8/9, (5, -4)
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
y = mx + b
y = 8/9x + b
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We also know that the point (5,-4) is on the line.
So, we can use this to find 'b'.
.
-4 = 8/9(5) + b
-4 = 40/9 + b
-4 -40/9 = b
-36/9 -40/9 = b
-76/9 = b
b = -76/9
.
So,
y = 8/9x -76/9
.
So, when x = 0, y = -76/9
And when x = 9.5, y = 76/9 -76/9 = 0
.
The graph can be used to inspect this solution.
graph%28500%2C500%2C-12%2C12%2C-12%2C12%2C8%2F9%2Ax-76%2F9%29
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