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Given:
Nancy is running 3 meters per second.
Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.
To find:
The equations for Nancy and Juan.
Solution:
Let x be the number of seconds.
Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

Therefore, the equations of Nancy and Juan are
and
respectively.
Answer:

Step-by-step explanation:
<u><em>The correct question is</em></u>
The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x -3. What is the point slope form of the equation for this line?
we have

This is the equation of the line in slope intercept form
where
the slope is 
the y-intercept is 
Remember that
The equation of the line in point-slope form is equal to

we have


substitute


M² - 12m + 20
m² ⇒ m * m
20 ⇒ - 10 * -2
(m - 10)(m - 2)
m(m - 2) - 10(m-2)
m² - 2m - 10m + 20
m² - 12m + 20
m - 10 = 0
m = 10
m - 2 = 0
m = 2