What is the equation of the line in slope intercept form? Help 30 points!

Answer:
y = 2/3x - 7
Step-by-step explanation:
(3, -5) (-3, -9)
and y = -7 when x = 0 from graph
so c = -7
m = -9 - (-5) / -3 - 3
= -4 / -6
= 2/3
line equation is y = mx + c
y = 2/3 x + (-7)
y = 2/3x - 7
[tex]\\ \sf\longmapsto m=\dfrac{-9+5}{-3-3}[/tex]
[tex]\\ \sf\longmapsto m=\dfrac{4}{6}[/tex]
[tex]\\ \sf\longmapsto m=2/3[/tex]
Now
Equation of line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{2}{3}x-7[/tex]