Answer:
[tex]y = \frac{3x}{5} + \frac{-44}{5}[/tex]
Step-by-step explanation:
SOLUTION:
Step 1:
Find the slope of the line that is parallel to 3x - 5y = 5 :
[tex]m = \frac{3}{5}[/tex]
Step 2: (the first picture)
Substitute [tex]\left \{ {{m=\frac{3}{5} } \atop {x=3}} \atop {{y = -7}} \right.[/tex] into
[tex]y = mx + b\\\\-7 = \frac{3}{5} (3)+ b\\\\\\-7 = \frac{3 x 3}{5} + b\\\\-7 = \frac{9}{5} + b\\\\-b = \frac{9}{5} + 7\\\\-b = \frac{9 + 35}{5} \\\\-b = \frac{44}{5}\\\\b = - \frac{44}{5}[/tex]
Step 3: (the second picture)
Substitute [tex]\left \{ {{m=\frac{3}{5} } \atop {b=- \frac{44}{5} }} \right.[/tex] into
y = mx + b :
[tex]y = \frac{3x}{5} + \frac{-44}{5}[/tex]
