Question 404753: find the slope intercept form of the equation of the line that passs thought (-1,5)and is parallel to 4x+2y=8
Answer by MathLover1(20849)   (Show Source):
You can put this solution on YOUR website!
find the slope intercept form of the equation of the line that passes thought ( )and is  to 
first find the slope of this line:
......write it in slope-intercept form...or solve for 
 .......both sides divide by 
 .........as you can see, slope is 
since the line that passes thought () is to given line, should have  slope
now, we have slope  and point () and we can find the equation of the line that passes thought
| 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 (-1, 5)
- it has a slope of -2
First, let's draw a diagram of the coordinate system with point (-1, 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=-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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now, let see a graph with both lines on it:
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