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Write the equation of the line passing through points J and K. Show or explain all your work.

Write the equation of the line passing through points J and K. Show or explain all-example-1
User Quaabaam
by
4.0k points

1 Answer

5 votes

We have the points J(3,3.5) and K(6,5)

The line passing through these points is expressed by an equation in the form y = a*x + b

It's slope (a) is given by (yk - yj)/(xk - xj) = (5 - 3.5)/(6 - 3) = 1.5/3 = 0.5 = a

We get b replacing y and x from the equation by K coordinates (could also be J coordinates).

For y = 5 and x = 6, we have:

5 = 0.5*6 + b, which implies 5 = 3 + b

Subtracting both sides from this equation by 3, we got: b = -2

Therefore, the equation of the line is y = 0.5*x + 2

User RaviU
by
5.3k points
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