Answer:
[tex]y=5x+3[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line crosses the y-axis)
1) Plug the given slope 5 into the equation
[tex]y=mx+b\\y=5x+b[/tex]
2) Find the y-intercept [tex]b[/tex] by plugging in the point (-1,-2)
[tex]y=5x+b\\-2=5(-1)+b\\-2=-5+b[/tex]
Add 5 to both sides
[tex]-2+5=-5+b+5\\3=b[/tex]
3) Plug the y-intercept back into the equation
[tex]y=5x+3[/tex]
I hope this helps!
