The slope of a line - Math Central

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Question from Sara, a student:

Line k lies in the xy-plane.
The x-intercept of line k is -4.
And line k passes through the midpoint of the line segment whose endpoints are (2,9) and (2,0).
What is the slope of line k?
Give the answer as a fraction.

Hi Sara,

Did you draw a diagram?

diagram

What are the coordinates of $m,$ the midpoint of the line segment from $(2, 0)$ to $(9, 0)?$

What is the slope of the line which passes through $(-4, 0)$ and $m?$

Penny

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