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Nutka1998 [239]
3 years ago
8

Graphing linear equations

Mathematics
1 answer:
ella [17]3 years ago
6 0

Answer:

To ensure uniformity on an exam

Or

To test whether you can distinguish between the two formats

Step-by-step explanation:

Standard form is when a straight line equation is rearranged in the form:

ax + by = c

Therefore y=2x+4 in standard form is

2x - y =  - 4

The slope-intercept form is when a a straight line equation is written in the form:

y =  mx + c

where m is the slope and c is the y-intercept.

The given equation is

y =  -  \frac{1}{2} x  - 5

This is already in slope-intercept form:

The standard form and slope-intercept forms are just formats.

Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.

You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.

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4. Determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.
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Answer:

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

Step-by-step explanation:

Given

Given that the function f(x) and g(x) are inverse functions.

f\left(x\right)\:=\:\frac{1}{3}x\:+\:5

g(x) = 3x - 15

To determine

Let us determine whether f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

<u>Determining the inverse function of f(x) </u>

A function g is the inverse function of f if for y = f(x), x = g(y)

y=\frac{1}{3}x+5

Replace x with y

x=\frac{1}{3}y+5

Solve for y

y=3x-15

Therefore,

YES! we conclude that f(x) = 1/3x + 5 and g(x) = 3x - 15 are inverse functions.

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