Slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
so
slope beteen (7,-11) and (-5,-8) is
(-8-(-11))/(-5-7)=(-8+11)/(-12)=3/-12=-1/4
slope=-1/4
The equation
has x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞). Thus Option A,B and C are correct.
<h3>What are functions?</h3>
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is independent variable while Y is dependent variable.
Given function,
= 
Domain of the above function is grater than -2 because at -2 system goes to infinity. Domain can be given as(-2, ∞).
Given function has x intercept at (14, 0) and y intercept at (0, 6).
Thus, the given function of log has following characteristic i.e.
x Intercept at (14, 0) and Y intercept (0,6) and domain is (-2, ∞).
Learn more about function here:
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Answer:
<h3>Y=1/3x+3</h3>
Step-by-step explanation:
To solve this problem, first, you have to use the slope formula of y₂-y₁/x₂-x₁=rise/run. Remember to solve this problem, use slope-intercept form of y=mx+b.
m represents the slope.
b represents the y-intercept.
Y₂=4
Y₁=1
X₂=3
X₁=(-6)
Solve & simplify.

The slope is 1/3.
Y-intercept is 3.
y=1/3x+3
In conclusion, the correct answer is y=1/3x+3.
It is known that any exponential function with the form f(x)=a^x is an increasing function while a function of the form g(x)=a^(-x) is a decreasing function.
Furthermore, it a function h(x) is increasing, then the function -h(x) is decreasing. By analogy, if a function k(x) is decreasing, then -k(x) is increasing.
Now let's analyze the functions from the problem.

Since (6/7)^x is increasing and the multiplying factor of 10 is positive, then the function <em>f(x)</em> is also increasing.
Use these rules to find whether each function is increasing or decreasing.
Remember that increasing functions are used to represent growth while decreasing functions are used to represent decay.