The slopes of the relationships are given as follows:
6. 5.
7. 1.
<h3>What is the complete question?</h3>
The problem is incomplete, as the tables are not readable, but researching it on a search engine, we find that:
- For item 6, we have points (2,8) and (6,28).
- For item 7, we have points (-6,5) and (4,10).
<h3>How to find the slope of a line given two points?</h3>
Given two points in the format (x,y), the slope of the line is given by change in y divided by change in x.
Hence, the slopes for each problem are given as follows:
6. m = (28 - 8)/(6 - 2) = 20/4 = 5.
7. m = (10 - 5)/(4 - (-6)) = 10/10 = 1.
More can be learned about the slope of a line at brainly.com/question/24808124
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The value of <u>x</u> that the given point of the function is 11.
<h3>Linear Function</h3>
An equation can be represented by a linear function. The standard form for the linear equation is: y= ax+b , for example, y=5x+3. Where:
a= the slope
b= the constant term that represents the y-intercept.
For the previous example: a=5 and b=3.
The question gives a point (x , -3) of a function f(x)= -x+8. Therefore, you can write
-3=-x+8
x=8+3
x=11
Thus, the x-coordinate is equal to 11.
Read more about the linear equations here:
brainly.com/question/2030026
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Answer:
-8x + 16
Step-by-step explanation:
This is called expanding brackets in algebra
1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside
-4 x 2x = 8x
-4 x -4 = 16
Answer:
f(x) = -(x-4)^2 + 5
Step-by-step explanation:
The function 
is a quadratic function. Its graph looks like a parabola. The graph has a vertex of (4,5) and opens up downward.
Proving that 
for all x:
