SOLUTION: Find the equation of each line. Write the equation in the form of Ax + By = C. Slope – 1, passes through (2, 2) ______4

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Question 907437: Find the equation of each line. Write the equation in the form of Ax + By = C.
Slope – 1, passes through (2, 2)
______4
Found 2 solutions by solver91311, MathLover1:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!


Use the point slope form of the equation of a straight line:



where are the coordinates of the given point and is the given slope. Use the basic rules of algebra to rearrange as required.

John

My calculator said it, I believe it, that settles it

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Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

is the slope ?
if yes, than you have:

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 (2, 2)

  • it has a slope of -0.25



First, let's draw a diagram of the coordinate system with point (2, 2) 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=-0.25, 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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