SOLUTION: use the given conditions to write and equation for each line in point-slope form and slope intercept form slope= negative 3 over 5, passing through(10,-4)

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Question 475099: use the given conditions to write and equation for each line in point-slope form and slope intercept form

slope= negative 3 over 5, passing through(10,-4)
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!

......... form
slope , passing through(10,-4)
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 (10, -4)

  • it has a slope of -0.6



First, let's draw a diagram of the coordinate system with point (10, -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=-0.6, 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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