Step-by-step explanation:
to find the equation of a line having the slope use this formula:
[tex]y - yp = m(x - xp)[/tex]
in which:
- yp is the y of the point (so 4);
- m is the slope (so 5);
- xp is the x of the point (so -1)
so:
[tex]y - 4 = 5(x - ( - 1))[/tex]
[tex]y - 4 = 5x + 5[/tex]
[tex]y=5x + 5 + 4[/tex]
[tex]y = 5x + 9[/tex]
