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3 years ago

What is the equation in point-slope form of a line that passes through the points (7, −8) and (−4, 6) ?

Mathematics

1 answer:

nika2105 [10]3 years ago

7 0

The slope-point form:

$y-y_1=m(x-x_1)$

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (7, -8) and (-4, 6). Substitute:

$m=\dfrac{6-(-8)}{-4-7}=\dfrac{14}{-11}=-\dfrac{14}{11}\\\\y-6=-\dfrac{14}{11}(x-(-4))\\\\\boxed{y-6=-\dfrac{14}{11}(x+4)}$

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Use common denominators to determine whether the ratios form a proportion.

AURORKA [14]

They are not in proportion, since its 6:9 round it down (2:3) so pretend the 6 are apples and the 9 are oranges

Every 2 apples there are 3 oranges

So having 9 apples what is that?

2 x ? = 9

2 x 4.5 = 9

So if you want to keep 2:3 you have you times the oranges by 4.5 aswell!

3 x 4.5 = 13.5

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lara31 [8.8K]

First do 43 - 30= $13 for two hats
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3 years ago

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$

If you multiply both sides by a, you get 2a( $\frac{x+1}{a}$ ) - a = (2x-1)+1

Simplify it 2a( $\frac{x+1}{a}$ ) - a = 2x

Add a to both sides 2a( $\frac{x+1}{a}$ ) = 2x +a

The two as on the left cancel out 2(x+1)=2x+a

Distribute the 2 2x+2=2x+a

Then subtract 2x from both sides 2 = a

Therefore, a = 2

Hope this helps!

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3 years ago

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Answer:

8% percent I think

Step-by-step explanation:

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3 years ago

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