Answer: y - 19 = 2(x - 5)
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
change in the value of y = y2 - y1
Change in value of x = x2 -x1
y2 = final value of y
y 1 = initial value of y
x2 = final value of x
x1 = initial value of x
The given points are (5,19) and (-5,-1)
y2 = - 1
y1 = 19
x2 = - 5
x1 = 5
Slope,m = (- 1 - 19)/(- 5 - 5) = - 20/- 10 = 2
To determine the equation, we would substitute x1 = 5, y1 = 19 and m= 2 into the point slope form equation. It becomes
y - 19 = 2(x - 5)
The -2 at the end means that while the x remains constant, the y will be smaller - it shifts it 2 units down
the other change is that it's x+4 now, not x, and this shifts the graph left. (the value of function is now the same as previously when x was smaller)
the answer is B!
U could use Photomath for that
Fist we find the legnth of the diagonal
a^2+b^2=c^2
3^2+4^2=c^2
9+16=c^2
25=c^2
c=5
now the other diagonal
11^2+5^2=c^2
121+25=c^2
146=c^2
sqrt both sides12.083
closest is B