Answer:
C) y = 2|x - 3| - 1
Step-by-step explanation:
Point slope form: y = a(x - h) + k
The slope (a) is 2
The vertex (h, k) is (3, -1)
plug these values into the equation:
y = 2|x - 3| - 1
Since the area of a triangle is in the form
area=0.5(base)(height)
height=base+7
let base=x
area=0.5(x)(7+x)
30=3.5x+0.5x^2
multiply the equation by 2
60=7x+x^2
subtract 60 from both sides
x^2+7x-60=0
(x-5)(x+12)=0
thus x=5 or x=-12 since we are only considering positive answers
x=-12 is rejected
so base=5 and height=5+7=12
The point-slope form:

We have the points (5, -3) and (-2, 9). Substitute:
