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Equation of the line that passes through points (8,7) and (0,0)

User MarcWan
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1 Answer

11 votes
11 votes

Equation of the line:

y = mx+b

where:

m= slope

b= y-intercept

First, we have to find the slope:

m = (y2-y1) / (x2-x1)

Since we have:

(x1,y1) = (8,7)

(x2,y2)= (0,0)

Replacing:

m = (0-7)/ (0-8) = -7/-8 = 7/8

Now, that we have the slope:

y = 7/8 x +b

We can place the point (8,7) in the equation and solve for b:

7 = 7/8 (8) +b

7=7 +b

7-7=b

b=0

Since the y-intercept=0

The final equation is:

y= 7/8x

User Xitas
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3.3k points