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The points (3,r) and (7,-1) lie on a line with slope of -3. Find the missing coordinate r .

User Gustavo Carvalho
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2 Answers

21 votes
21 votes

Answer:

I'm not sure but x1=3 that's all I know I didn't do it on edge tho

User OJW
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2.3k points
16 votes
16 votes

Answer:

r = 11

Explanation:

Since we have a slope and one confirmed point, a good approach would be to find the equation of the line that goes through that point. The equation can then be used to find r, for x = 3.

The standard format for an equation of a straight line is y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0). The slope is -3:

y = -3x + b

To find b, enter the given point and solve for b:

-1 = -3*(7) + b [for (7,-1)]

b = 20

The equation for this line is y = -3x + 20

Now enter (3,r)

y = -3x + 20

r = -3(3) + 20

r = 11

The point (3,r) is (3,11)

See the attached graph

The points (3,r) and (7,-1) lie on a line with slope of -3. Find the missing coordinate-example-1
User Lee Hesselden
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2.8k points