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Sagot :
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
Take two points
- (-2,1)
- (4,6)
Slope:-
[tex]\\ \rm\rightarrowtail m=\dfrac{6-1}{4+2}=\dfrac{5}{6}[/tex]
Equation in point slope form
[tex]\\ \rm\rightarrowtail y-1=5/6(x+2)[/tex]
[tex]\\ \rm\rightarrowtail 6y-6=5x+10[/tex]
[tex]\\ \rm\rightarrowtail 6y=5x+16[/tex]
[tex]\\ \rm\rightarrowtail y=5/6x+8/3[/tex]
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