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1 answer:
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Answer:
Step-by-step explanation:
<u>Slope-intercept form of a linear equation:</u>
where:
- m is the slope.
- b is the y-intercept.
<u>Rearrange</u> the given equation so that it is in <u>slope-intercept form</u>:
Therefore, the slope of the given equation is -⁵/₇.
If two lines are <u>perpendicular</u> to each other (at right angles), the <u>product of their slopes</u> will be -1. Therefore, their slopes will be negative reciprocals of each other.
Therefore, the slope of the line perpendicular to the given equation is:
<u>Substitute</u> the found <u>slope</u> and the <u>given point</u> (6, -5) into the <u>slope-intercept formula</u> and solve for b:
<u>Substitute</u> the found slope and the found value of b into the <u>slope-intercept formula</u> to create the equation for the <u>perpendicular line</u>:
Learn more about slope-intercept form here:
Answer:
The horizontal asymptote for the function f(x) is 1/2
Step-by-step explanation:
<u>We were given the function</u>
which could be <u>simplified</u> as
this means that the function is a constant of value 1/2 for all value of x.
Then, in particular, <u>the value of f will be 1/2 for x when x tends to infinite and minus infinite</u>.
And because to find the horizontal asymptote of a function we have to calculate the limit of the function when x tends to infinite or minus infinite, we can ensure that <em>this asymptote has also the value 1/2 of f</em>.