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The equation of the line passing through the points (3, 16) and (5, 10) can be expressed as y = mx + b. Give the value of b

User Paullth
by
9.1k points

1 Answer

3 votes

we are given two points as

(3, 16) and (5, 10)

firstly , we will find slope

slope is m

so, we can use formula


m=(y_2-y_1)/(x_2-x_1)

now, we can plug points


m=(10-16)/(5-3)


m=(-6)/(2)


m=-3

we can plug it in y=mx+b

we get


y=-3x+b

now, we can select any one points

and find b

(3,16)

x=3 and y=16


16=-3*3+b

we can find b


b=25

now, we can plug back b

and we get


y=-3x+25

so, equation is


y=-3x+25

and


b=25...............Answer

User Roterl
by
8.3k points

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