Answer :
Answer:
[tex]y=11x+73[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
- Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
- y and x stay the same but m and b are replaced with numerical values
1) Plug the slope into [tex]y=mx+b[/tex] (m)
[tex]y=11x+b[/tex]
2) Plug the given point into the equation and solve for b
[tex]y=11x+b\\-4=11(-7)+b\\-4=-77+b[/tex]
Add 77 to both sides to isolate b
[tex]-4+77=-77+b+77\\73=b[/tex]
Plug b back into [tex]y=11x+b[/tex]
[tex]y=11x+73[/tex]
I hope this helps!