12. Write the equations in point-slope form of the line that passes through
2 answers:
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Answer:
Step-by-step explanation:
I accept your challenge!
First we know that a equation of the line is a linear equation, and its equation is:
In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).
Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.
I will take as Point 1 and
as Point 2.
So,
Now we have to find the y-intercept:
To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.
Our currently equation of the line is:
Using the points, take Point 1 as an example, it says that when , so plugging it in the equation:
Taking the Point 2
Now we found ! The equation is complete!