Respuesta :
Answer:
Y=1/3x+3
Step-by-step explanation:
To solve this problem, first, you have to use the slope formula of y₂-y₁/x₂-x₁=rise/run. Remember to solve this problem, use slope-intercept form of y=mx+b.
m represents the slope.
b represents the y-intercept.
Y₂=4
Y₁=1
X₂=3
X₁=(-6)
Solve & simplify.
[tex]\displaystyle \mathsf{\frac{4-1}{3-(-6)}=\frac{3}{9}=\frac{3\div3}{9\div3}=\frac{1}{3} }}[/tex]
The slope is 1/3.
Y-intercept is 3.
y=1/3x+3
In conclusion, the correct answer is y=1/3x+3.