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Finding the coordinate that yields a given slope The points (7,r) and (11,5) lie on a line with slope 4 . Find the missing coordinate r

2 Answers

6 votes

Answer: r = -11

Explanation:

Our task is to find the missing coordinate, r.

We're given the following two points:

  • (7,r) and (11,5)

We're also given the slope:

  • 4

Use the slope formula:


m=\cfrac{y_2-y_1}{x_2-x_1}


4=\cfrac{5-r}{11-7}

Now we just solve for r.


4=\cfrac{5-r}{4}

Multiply both sides by 4:


16=5-r

Subtract 5 from both sides:


11=-r

Divide both sides by -1:


-11=r

Therefore, r = -11.

User Gplumb
by
8.6k points
6 votes

Answer:

r=-11

Explanation:

using the formula of slope
m=y2-y1/x2-x1, we already know the slope which is m=4 and the rest of the point. Just plug in the values and ultimately you end up with r=-11

User Hennr
by
8.2k points

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