In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
graph
Step 02:
equation of the line:
we must analyze the lines to find the solution.
line l:
y = 4
line p:
x = - 4
line m:
point 1 (0 , 4)
point 2 (2, 0)
slope:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{0-4}{2-0}=\frac{-4}{2}=-2[/tex]
Slope-intercept form of the line
y = mx + b
y = -2x + 5
line n:
point 1 (5, 4)
point 2 (0 , -1)
slope:
[tex]m\text{ = }\frac{y2-y1}{x2-x1}=\frac{-1-4}{0-5}=\frac{-5}{-5}=1[/tex]
Slope-intercept form of the line
y = mx + b
y = 1x + (-1) = x - 1
The answer is:
line l: y = 4
line m: y = -2x + 5
line n: y = x - 1
line p: x = -4
