Answer:
Step-by-step explanation:
<u>To make the given piecewise function continuous we need:</u>
- ax² - b = 6 and 5ax + b = 6 at x = 1
<u>It gives us the system:</u>
- a(1²) - b = 6 ⇒ a - b = 6
- 5a(1) + b = 6 ⇒ 5a + b = 6
<u>Sum of the two:</u>
- a - b + 5a + b = 6 + 6
- 6a = 12
- a = 2
<u>Then b is:</u>
Y-y1=m(x-x1)
x1 and y1 are coordinates of first point
x and y are coordinates of second point
(7,7) x1=7, y1=7
(-9,-1) x= -9, y= -1
-1-7=m(-9-7)
-8=m(-16)
-8= -16m multiply by -1
8=16m
m=8/16
m=1/2
Slope of the line on the graph is 1
Step-by-step explanation:
FOR FINDING THE SLOPE OF LINE ON THE GRAPH WE FOLLOW THE FOLLOWING STEPS:
- determine 2 points on the graph
- find difference between y coordinates and x coordinates
- divide difference of y-coordinates by x-coordinates
The formula used is:

Considering the points: (0,2) and (-4,-2)
here: 
Putting in the formula:

So, Slope = 1
Keywords: Finding Slope from Graph
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K=33/20 I belive you have to simflfy