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azamat
3 years ago
9

The line passes through the point -4, -8 and has a slope of 3/2 Rewrite an equation in a X plus BY equals C

Mathematics
1 answer:
amid [387]3 years ago
4 0

Answer:

Step-by-step explanation:

(-4,-8)...x = -4 and y = -8

slope = 3/2

in y = mx + b form, the m is ur slope

now sub ur info into y = mx + b......we need to find b, the y intercept

y = mx + b

-8 = 3/2(-4) + b

-8 = -6 + b

-8 + 6 = b

-2 = b

so ur equation is : y = 3/2x - 2.....but u need it in another form

y = 3/2x - 2.....subtract 3/2x from both sides

-3/2x + y = -2 ....then u can multiply by -2 and get 3x - 2y = 4....just in case u dont want fractions

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3 years ago
Hello, Can someone please explain on how to do this? thank you!
Marrrta [24]
Steps:

1) determine the domain

2) determine the extreme limits of the function

3) determine critical points (where the derivative is zero)

4) determine the intercepts with the axis

5) do a table

6) put the data on a system of coordinates

7) graph: join the points with the best smooth curve

Solution:

1) domain

The logarithmic function is defined for positive real numbers, then you need to state x - 3 > 0

=> x > 3 <-------- domain

2) extreme limits of the function

Limit log (x - 3) when x → ∞ = ∞

Limit log (x - 3) when x → 3+ = - ∞ => the line x = 3 is a vertical asymptote

3) critical points

dy / dx = 0 => 1 / x - 3 which is never true, so there are not critical points (not relative maxima or minima)

4) determine the intercepts with the axis

x-intercept: y = 0 => log (x - 3) = 0 => x - 3 = 1 => x = 4

y-intercept: The function never intercepts the y-axis because x cannot not be 0.

5) do a table

 x                          y = log (x - 3)

limit x → 3+            - ∞

3.000000001        log (3.000000001 -3) = -9

3.0001                  log (3.0001 - 3) = - 4

3.1                       log (3.1 - 3) = - 1

4                          log (4 - 3) = 0

13                       log (13 - 3) = 1

103                     log (103 - 3) = 10

lim x → ∞             ∞

Now, with all that information you can graph the function: put the data on the coordinate system and join the points with a smooth curve.
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3 years ago
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