Question 655406: Through :(-4,-4), parallel to x=0
Found 2 solutions by nerdybill, MathLover1:
Answer by nerdybill(7384)   (Show Source):
Answer by MathLover1(20850)  (Show Source):
You can put this solution on YOUR website! Slope Intercept form:
 =?
 =?
Find :
Since you know your line is parallel to  then we know it is a  line on the  that has points of [(0,1), (0,2), etc...]
take points: (0,1) and given point (-4,-4)
 ...
So.... back to
Finally  or 
or, you can find it this way: first slope, then equation of line through the given point and slope
| 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 (-4, -4)
- it has a slope of -0.75
First, let's draw a diagram of the coordinate system with point (-4, -4) 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=-0.75, 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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