Question

What is the equation of the line that passes through the point (-7,-4) and has a slope of 11?

Answer 1

`y=11x+73`

Explanation:

Hi there!

What we need to know:

• Linear equations are typically organized in slope-intercept form:
  `y=mx+b` 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
`y=mx+b` (m)

`y=11x+b`

2) Plug the given point into the equation and solve for b

`y=11x+b\\-4=11(-7)+b\\-4=-77+b`

Add 77 to both sides to isolate b

`-4+77=-77+b+77\\73=b`

Plug b back into
`y=11x+b`

`y=11x+73`

I hope this helps!