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19-07-2022
Mathematics

contestada

If a line that passes through the
points (8, 10) and (4, -6) also passes through the point (b, 2b), then find the value of b?

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alex255489 alex255489

19-07-2022

Gradient of line= (y2-y1)/(x2-x1)
Gradient of line= (10-(-6))/(8-4)
Gradient of line= 16/4
Gradient of line= 4

Y-intercept
Y=4x+c
When x=8, y=10
10=32+c
c= -22

Equation of line
Y=4x-22

When x=b, y=2b
Y=4x-22
2b=4b-22
22=2b
b=11

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