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2 years ago

100 Points and Brainliest.

Mathematics

2 answers:

Reptile [31]2 years ago

8 0

Take two points

(-2,1)
(4,6)

Slope:-

$\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}$

Equation in point slope form

$\\ \rm\rightarrowtail y-1=5/6(x+2)$

$\\ \rm\rightarrowtail 6y-6=5x+10$

$\\ \rm\rightarrowtail 6y=5x+16$

$\\ \rm\rightarrowtail y=5/6x+8/3$

hichkok12 [17]2 years ago

3 0

Answer:

See below ↓

Step-by-step explanation:

We have a graph given to us.

⇒ Take the points to form an equation!

The points

(4, 6)
(-2, 1)

Making an equation

Find the slope
m = 1 - 6 / -2 - 4
m = -5 / -6
m = 5/6

Take one of the two points and substitute in the equation :

⇒ y - y₁ = m (x - x₁)
⇒ y - 6 = 5/6 (x - 4)
⇒ y - 6 = 5x/6 - 10/3
⇒ y = 5x/6 + 8/3
⇒ or 6y = 5x + 16

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