Answer:
The equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
Let be a line whose equation is:
(1)
Whose explicit form is:
(2)
Where:
- Independent variable.
- Dependent variable.
The slope and x-intercept of the line are and , respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.
A line is perpendicular to other line when the former has a slope described the following form (), where is the slope of the former.
Then, the equation of the line that is parallel to is and the equation of the line that is perpendicular to is .
To learn more on lines, we kindly invite to check this verified question: brainly.com/question/2696693
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Answer:
1000x or 1000 thousand times greater
Step-by-step explanation:
every decimal to the left is 10x greater than the one right of it.
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
<h3>How to determine the slope of a line perpendicular to another line</h3>
The slope of a function is determined by the secant line formula and is defined by the following expression:
m = Δy / Δx (1)
Where:
- Δx - Change in the independent variable.
- Δy - Change in the dependent variable.
- m - Slope of the line.
Besides, by analytical geometry, the slope of a line perpendicular to another line is equal to:
m' = - 1 / m
If we know that Δx = 2 and Δy = 3, then the slope of the line perpendicular to the line seen in the picture is:
m = 3 / 2
m' = - 1 / (3 / 2)
m' = - 2 / 3
The slope of the line perpendicular to the line seen in the picture is - 2 / 3.
To learn more on slopes: brainly.com/question/2491620
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f(x)−4 involves translating the graph of f(x) DOWN by 4 units.
4f(x) involves vertical stretching of the graph by a factor of 4.
