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Question 114087This question is from textbook Beginning Algebra
: Write the equation of the line that passes through point (0, -5) with a slope of 9/7.
The fraction is throwing me off for some reason and I cannot seem to get this right. Thanks!
This question is from textbook Beginning Algebra
Found 2 solutions by stanbon, MathLover1:
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Write the equation of the line that passes through point (0, -5) with a slope of 9/7.
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Y = (9/7)x -5
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Cheers,
Stan H.
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website!
you can write the fraction as decimal number if you divide nominator by denominator:
| Solved by pluggable solver: FIND a line by slope and one point |
What we know about the line whose equation we are trying to find out:
- it goes through point (0, -5)
- it has a slope of 1.28571428571429
First, let's draw a diagram of the coordinate system with point (0, -5) plotted with a little blue dot:
Write this down: the formula for the equation, given point  and intercept a, is
 (see a paragraph below explaining why this formula is correct)
Given that a=1.28571428571429, and  , we have the equation of the line:
Explanation: Why did we use formula  ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point ( ,  ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ):  Here, we know a, , and , and do not know b. It is easy to find out:  . So, then, the equation of the line is:  .
Here's the graph:
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