A is the point (-2,0) B is the point (0,4)
C is the point (5,-1)

Find an equation of the line that passes through C and is perpendicular to AB

Step-by-step explanation:

Equation of line AB:

Let A = = (-2, 0)

Let B = = (0, 4)

Use equation of slope to find slope m:

Use point-slope form for linear equation:

Equation of line passing through C

If the line that passes through C is perpendicular to AB, then their slopes will be opposite reciprocals of each other.

⇒

Use point-slope form for linear equation and is point C:

y=mx+