Answer:
Step-by-step explanation:
For the first problem, we can plug in the slope of [tex]-5[/tex] for [tex]m[/tex]:
[tex]y = -5x + b[/tex]
To solve for [tex]b[/tex], we plug in the given point [tex](-2, 2)[/tex]:
[tex]2 = -5(-2) + b[/tex]
[tex]2 = 10 + b[/tex]
[tex]b = -8[/tex]
This gives us the equation:
[tex]y = -5x -8[/tex]
For the second problem, we can plug in the slope of [tex]1[/tex] for [tex]m[/tex]:
[tex]y = x + b[/tex]
To solve for [tex]b[/tex], we plug in the given point [tex](0, -2)[/tex]:
[tex]-2 = 0 + b[/tex]
[tex]b = -2[/tex]
This gives us the equation:
[tex]y = x - 2[/tex]