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A line with a slope of 5 passes through the points (4,5) and (5,u) What is the value of u?

User JepZ
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Answer:

See Below

Explanation:

Slope is rise over run.

Rise is the difference in the y values

Run is the difference in the x values.

Rise/Run = 5 (slope)

You have both x values 4 from one point and 5 from the other point so the difference is 1. The Run is equal to 1

So you now have Rise / 1 = 5

The first y value you have is 5 and based on (rise/1 = 5), you know the difference in the y values must equal 5. That means the other y value has to be either 10 or 0.

0 will not work because that would make the slope negative since the line would slope downward from left to right.

User UberHans
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