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Answer:
The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
Step-by-step explanation:
We know the slope-intercept form of line equation is
y = mx+b
where m is the slope and b is the y-intercept
Given the points
- (-8,-5)
- (-8,-9)
Finding the slope between (-8,-5) and (-8,-9)
(x₁, y₁) = (-8,-5)
(x₂, y₂) = (-8,-9)
slope = m = (y₂-y₁) / (x₂-x₁)
= -9 - (-5) / -8 - (-8)
= -9+5 / -8+8
= -4 / 0
= ∞
Thus, the slope = m = ∞
- The reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
In other words, whatever the value of y is, the x-value always remains constant.
In other words, the line will be vertical and the slope of a vertical line will be undefined.
Thus, the equation of this line is:
x = -8
The line graph is also attached.
Therefore, the reason why this equation can not be written in the slope-intercept form because the slope of this line is undefined.
Equal expressions can be taken equal to an another variable. The system of equations representing the equation is
When you raise a number with an exponent, there comes a result.
Lets say you get
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
Some properties of logarithm are:
Log with base e = 2.71828... is written as simply.
Log with base 10 is written as simply.
The given equation is:
Adding on both the sides, we get:
The, we get two equations as:
This is the needed system of equations.
Learn more about logarithms here: