Answer:Line k : y = 2x + 3 and line m : [tex]y = \frac{3}{5}x + 1[/tex].Step-by-step explanation:See the given graph.
Part 1:
Line k has the equation in the form y = ax + b ........ (1)
a. Line k has y-intercept at (0,3), therefore, b = 3
b. Line k goes 1 to the right and 2 up, so a = slope of the line = [tex]\frac{2}{1} = 2[/tex]
c. Complete the equation of the line k: y = 2x + 3 (Answer)
Part 2:
Line m shown in the graph has also equation in the form y = ax + b ...... (1)
d. Line m has y-intercept at (0,1), therefore, b = 1
e. Line m goes 5 to the right and 3 up, so 1 to the right and [tex]\frac{3}{5}[/tex] up. so [tex]a = \frac{3}{5}[/tex].
f. Complete the equation for line m: [tex]y = \frac{3}{5}x + 1[/tex] (Answer)