Question 85803This question is from textbook
: determine the equation of the line that has the given slope and passes through the given points then graph.
m= -1 through the points(5,0)
thanks for the help
This question is from textbook
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
| 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 (5, 0)
- it has a slope of -1
First, let's draw a diagram of the coordinate system with point (5, 0) 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, 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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Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! determine the equation of the line that has the given slope and passes through the given points then graph.
m= -1 through the points(5,0)
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EQUATION is y=mx+b where y=0 when x=5 and m=-1
So, 0 = -5+b
b=-5
EQUATION:
y=-x-5
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Cheers,
Stan H.
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