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soldi70 [24.7K]
3 years ago
15

Space provided.

Mathematics
1 answer:
lianna [129]3 years ago
7 0

Answer:

1) The slope of the line is m=\frac{5}{2}  or  m=2.5

2) The equation of the line is y=2.5x-4

Step-by-step explanation:

step 1

Find the slope

we know that

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

take any two points from the values in the table

(2,1) and (4,6)

substitute the values in the formula

m=\frac{6-1}{4-2}

m=\frac{5}{2}

m=2.5

step 2

Find the equation of the line in point slope form

y-y1=m(x-x1)

we have

m=2.5

point\ (2,1)

substitute

y-1=2.5(x-2)

Convert to slope intercept form

isolate the variable y

y-1=2.5x-5

y=2.5x-5+1

y=2.5x-4

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