The equations of the lines are
y = -1/4 x - 2
y = -6 x - 2
y = 7/3 x - 2
How to plot the lines
The lines are plotted using the equation of the lines
Let's us find the equations of the lines
The slope, m is calculated using the points on the graph (-4, 3) and (0, 2)
m = (y₀ - y₁) / (x₀ - x₁)
m = (3 - 2) / (-4 - 0)
m = (1) / (-4)
m = -1/4
c = y intercept, from the graph
c = -2
The equation is y = -1/4 x - 2
Using (1, -4) and (0, 2)
m = (-4 - 2) / (1 - 0)
m = (-6) / (1)
m = -6
The equation is y = -6 x - 2
Using (-3, -5) and (0, 2)
m = (-5 - 2) / (-3 - 0)
m = (-7) / (-3)
m = 7/3
The equation is y = 7/3 x - 2