Question

100 Points and Brainliest.

Answer 1

Take two points

• (-2,1)
• (4,6)

Slope:-

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

Equation in point slope form

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

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

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

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

Answer 2

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