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3-30.

Examine the graph of line $\overleftrightarrow { A B }$ below. 3-30 HW eTool (Desmos). Homework Help ✎

 Find the equation of $\overleftrightarrow { A B }$.Hint (a):Identify the slope and $y$-intercept from the graph and use the equation $y = mx + b$ to write the equation of the line.
 Find the area and perimeter of $ΔABC$.Hint (b):The area of a triangle is ($0.5$)(height)(base).Find the length of the hypotenuse by using the given leg lengths and the Pythagorean Theorem.
 Write an equation of the line through A that is perpendicular to $\overleftrightarrow{ A B }$.Hint (c):The slope of a perpendicular line is negative the reciprocal of the original line.