Answer:
Option: D is the correct answer.
The equation of line in point-slope form is given by:
y-9=2(x-1)
Step-by-step explanation:
We know that the point-slope equation of a line is given by:
y-b=m(x-a)
where (a,b) is the point from which the line passes and m is the slope of the line.
Here we are given that:
The line passes through (1,9) and slope of the line is given to be 2.
Hence,
(a,b)=(1,9) and m=2
Hence, the equation of line is given by:
y-9=2(x-1)
Therefore, the point slope intercept equation of the line is: D
Answer:
A. -2
B. -10
Step-by-step explanation:
The slope of a perpendicular line will be the negative reciprocal of the slope of the given line:
-1/(1/2) = -2 . . . . slope of the perpendicular line
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The y-intercept will let the given point satisfy the equation ...
y = -2x +b
2 = -2(-6) +b
-10 = b . . . . . . . subtract 12. This is the y-intercept.
_____
The graph shows the two lines and the points they go through.
Answer & Step-by-step explanation:
When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

Now, let's use this equation to solve for the rate of change of each question.
<u>Problem 1:</u>

<em>The rate of change of this equation is 2/3</em>
<u>Problem 2:</u>
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<em>The rate of change for this equation is 2</em>
<u>Problem 3:</u>
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<em>The rate of change for this equation is 6</em>
X^2(x)+5x(x)+6/x(x)+1(x)=1(x)
X^3+5x^2+6+x=x
X^3+5x^2+6=0
Use cube
X is approx -5.220181