Line& 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 your answer as a fraction

Step-by-step explanation:

Given : Line k lies in the xy-plane.

The x-intercept of line K is -4. i.e. line k is intersecting the x-axis at (-4,0).

We know that the mid point of a line passing through any two points (a,b) and (c,d) is .

Then, the  midpoint of the line segment whose endpoints are (2, 9) and (2, 0) will be :-

The slope of line passing through (p,q) and (r,s) will be :-

Then, the slope of line passing through (-4,0) and (2,4.5) will be :-

Hence, the slope of line k

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step-by-step explanation: