You can use slope formula to find slope of given points.
m = (y2-y1)/(x2-x1)
m = (-6-11)/(-3-5)
m = -17 / -8
Cancel out minus sign in both nominator and denominator. Thus,
m = 17/8
Hence, the slope is 17/8
Answer:
2 cats were cared for
Step-by-step explanation:
c= cats
d=dogs
c+d =7
1.5c+3.5d=20.50
c+d =7
solve for d
d = 7-c
substitute into 1.5c+3.5d=20.50
1.5 c + 3.5 (7-c) = 20.50
distribute
1.5c +24.5 -3.5 c = 20.5
combine like terms
24.5 -2c =20.5
subtract 24.5 from each side
-2c = -4
divide by -2
c =2
Write an equation, calling the number x:
3x=2(x+4)
3x=2x+8
x=8
However, 8 is not a perfect square, which was required in the problem, so there are no solutions.
D.
you do change in y divided by change in x
(5-1)/(1-0) = (4)/1=4
ANSWER

EXPLANATION
We want to find the absolute value function for the line in blue.
The general form of an absolute value function is:

where (h, k) = vertex
From the line, the vertex of the graph in blue is:

To find a, we have to pick a point (x, y) on the line and input it into the general function.
Let us pick (2, 1).
Therefore, we have:

Therefore, the absolute value function is: