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Question 82689: Find an equation of a line parallel to
y = -2x + 5
and through (0, 8).
Thank you
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Since parallel lines have equal slopes, we know the slope of the unknown line is -2. Also we know that the line goes through (0,8). So lets find the equation of the line with a slope of -2 and goes through (0,8).
| 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, 8)
- it has a slope of -2
First, let's draw a diagram of the coordinate system with point (0, 8) 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=-2, 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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