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3 years ago

Write the equation of the line passing through the points (-1, 2) and (3.4)

Mathematics

1 answer:

Bond [772]3 years ago

6 0

Answer:

$\boxed{y = 0,5x + 2,5}$

Step-by-step explanation:

Equation of a straight line: y = kx + b

Points: (-1,2) and (3,4)

Сompose the system of equations:

$\displaystyle \left \{ {{2=-k + b} \atop {4=3k + b}} \right$ $\displaystyle \left \{ {{b= k + 2} \atop {b=4 - 3k}} \right \Longrightarrow 2 + k = 4 - 3k$

$2 + k = 4 - 3k$

$4k = 2|:4$

$k = 0,5$

$b = k + 2 = 0,5 + 2 = 2,5$

$y = 0,5x + 2,5$

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Let f(x) = 12 / 4x + 2 find f(-1)

makkiz [27]

Although this function could be interpreted two different ways due to formatting, the equation below must be the equation you meant (because the other would create an answer that is not listed in the choices).

$f(x)=\dfrac{12}{4x+2}$

To find f(-1), substitute the x('s) in the equation with -1.

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