Answer:
[tex]y = 5x + 6[/tex]
Step-by-step explanation:
Parallel lines have the same slope
→ Since the equation is [tex]y = 5x - 3[/tex] and the form of a linear equation is [tex]y = mx + b[/tex], with [tex]m[/tex] being the slope, therefore 5 is the slope
Which creates the equation this far:
[tex]y = 5x + b[/tex]
→ Now, substitute the values of the point (-2, -4) into equation [tex]y = 5x + b[/tex]
[tex](-4) = 5(-2) + b[/tex]
→ Solve for [tex]b[/tex]
[tex]-4 = -10 + b\\-4 + 10 = b\\6 = b[/tex]
Resulting in the equation :
[tex]y = 5x + 6[/tex]
