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Solve photo question, please. Mathematics.

Solve photo question, please. Mathematics.-example-1

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Slope point form:
We need the slope "m" and a point (x₀,y₀)
y-y₀=m(x-x₀)


1)
we calculate the slope "m".
Given two points:
(x₁,y₁)
(x₂,y₂)
the slope "m" is:
m=(y₂-y₁) / (x₂-x₁)

In this case:
(4,10)
(6,11)
m=(11-10) / (6-4)=1/2

Now, we calculate the solpe point form.
(4,10)
m=1/2

y-y₀=m(x-x₀)
y-10=(1/2)(x-4)

we make the standard form
y-10=x/2 - 2

Lowest common multiple=2

2y-20=x-4
-x+2y=-4+20
-x+2y=16

Answer: -x+2y=16


User Renan Bronchart
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