SOLUTION: find the slope of the line containing the pair of points (-5,-10) and (-4,-3)

Algebra.Com
Question 919040: find the slope of the line containing the pair of points
(-5,-10) and (-4,-3)
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
find the slope of the line containing the pair of points
(-5,-10) and (-4,-3)
----
m = diffy/diffx = 7/1
m = 7
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
Solved by pluggable solver: Finding the slope


Slope of the line through the points (-5, -10) and (-4, -3)



















Answer: Slope is




now we can use a slope and one point to find equation of a line:

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, -10)

  • it has a slope of 7



First, let's draw a diagram of the coordinate system with point (-5, -10) 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=7, 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:





here is better picture of a graph:
(-4,-3)

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