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skad [1K]
3 years ago
15

Find an equation for the line with slope m through the point (a,c).

Mathematics
1 answer:
lidiya [134]3 years ago
4 0
If you want the answer in point slope form then,

y-y1 = m(x-x1)
y-c = m(x-a)

---------------------------------------

If you want the answer in slope intercept form, then solve for y

y-c = m(x-a)
y-c = mx-ma
y-c+c = mx-ma+c
y = mx-ma+c
y = mx+c-ma
y = mx+(c-ma)

For this answer in slope intercept form the slope is m and the y intercept is c-ma

---------------------------------------

If you want the answer in standard form, then get the variable terms to the left side. Have the constant terms on the right side.

y = mx+c-ma
y-mx = mx+c-ma-mx
-mx+y = c-ma

Optionally you can multiply both sides by -1 to get mx-y = -c+ma but it will depend on your book if this step is carried out or not.

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Which expressionism equivalent to -60 / 5 select all that apply 60 divided by negitive 5 60 times 1/5 60 times negitive 1/5 Negi
GaryK [48]

Answer:

Equivalent expressions

A) \frac{60}{-5}

C)  60\times (-\frac{1}{5})

Step-by-step explanation:

Given expression :

\frac{-60}{5}

Choices given :

A) \frac{60}{-5}

B) 60\times \frac{1}{5}

C)  60\times (-\frac{1}{5})

D) -60\times (-\frac{1}{5})

To find the equivalent expression.

We will first evaluate the given expression.

\frac{-60}{5}

⇒ -12    [Quotient of a negative dividend and a positive divisor is always negative]

Evaluating each choice to select the equivalents.

A) \frac{60}{-5}

⇒ -12    [Quotient of a positive dividend and a negative divisor is always negative]

B) 60\times \frac{1}{5}

⇒ \frac{60}{5}

⇒ 12

C)  60\times (-\frac{1}{5})

⇒ -\frac{60}{5}   [Product of a positive and a negative is always a negative]

⇒ -12

D) -60\times (-\frac{1}{5})

⇒ \frac{60}{5}   [Product of two negatives is always a positive]

⇒ 12

∴ We see that the choices A and C are equivalent.

7 0
3 years ago
Three guinea pigs living in the same cage need at least 12 square feet of living spàce.Is a cage that measure 3 feet by 5 feet b
Arte-miy333 [17]
Yes, there is enough space . If the guinea pigs need 12 feet, and 5*3= 15 feet  then they have enough.
( idk if means 12 feet of living space for each or all 3 , but here i hope it helps :) )
8 0
2 years ago
What is the inverse of the function f(x) = 2x – 10?
Nadusha1986 [10]

Answer:

f⁻¹(x) = (1/2)x +5

Step-by-step explanation:

In y = f(x), swap the variables, then solve for y. The expression you get is f⁻¹(x).

... y = 2x -10

... x = 2y -10 . . . . . . swapped variables

... x +10 = 2y . . . . . add 10

... (1/2)x + 5 = y . . . . divide by 2

... f⁻¹(x) = (1/2)x + 5 . . . . . . rewrite using function notation

6 0
3 years ago
HELP ASAP GET 5 POINTS
tamaranim1 [39]
5 because 2 - -3 = 5.
8 0
2 years ago
Read 2 more answers
Help would be appreciated :)
Orlov [11]

Answer:

3y-x=-18

Step-by-step explanation:

3y-x=-18

3y=x-18

y=1/3x-6

Parallel lines have the same slope

8 0
3 years ago
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