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2 years ago

Complete the equation of the line through (4,-8)(4,−8)left parenthesis, 4, comma, minu

Mathematics

1 answer:

In-s [12.5K]2 years ago

3 0

Equation of a line is in the form y = mx+c, where m is the gradient and c is the y-intercept.

First step is to find the gradient.

m = (y2-y1)/(x2-x1)
= ( 5- -8)/(8-4) = 13/4

We have y = (13/4)x + c

Now we replace one of the coordinates to find c. Let’s replace (4,-8)

We have: -8 = (13/4)*4 + c

-8=13+c
c=-8-13= -21

Therefore, equation of line is:

y = (13/4)x - 21

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Answer:

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Step-by-step explanation:

f^2−9>−5

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2 years ago

BRAINLIEST FOR RIGHT ANSWER!!

julsineya [31]

Answer: ${\boxed{h(x+4)=\frac{9+3x}{8+x}}}$

Concept:

In a function f(x), it represents a function in terms of x or for x. Therefore, to find the values in the function, substitute values within the parenthesis to solve.

Solve:

Given information

$h(x)=\frac{-3+3x}{4+x}$

Need to find

$h(x+4)$

Substitute (x + 4) to the position of x

$h(x+4)=\frac{-3+3(x+4)}{4+(x+4)}$

Distributive property on the numerator

$h(x+4)=\frac{-3+3x+12}{4+(x+4)}$

Combine like terms

$h(x+4)=\frac{-3+12+3x}{4+4+x}$

$\boxed{h(x+4)=\frac{9+3x}{8+x}}$

Hope this helps!! :)

Please let me know if you have any questions

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