What is the rule for finding the vertex of a formula in Standard form? Use that rule to find the vertex of our formula, from above (Once you find the x value, plug it into the
equation to find the value of f(x)). What do the x and f(x) values you got represent?

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Ответ:

tilsendt

22.02.2021

Mathematics

2x+3y-5=0

Step-by-step explanation:

We have been given two points (4,-1) and (-2,3). Now we need to find about

what is the equation of the line that passes through (4,-1) and (-2,3).

Slope of the line through the points (4,-1) and (-2,3) is given by:

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

$m=\frac{3-\left(-1\right)}{-2-4}=\frac{3+1}{-6}=\frac{4}{-6}=-\frac{2}{3}$

Now plug the slope $m=-\frac{2}{3}$ and point (4,-1) into point slope formula

$y-y_1=m\left(x-x_1\right)$

$y--1=-\frac{2}{3}\left(x-4\right)$

$y=-\frac{2}{3}x+\frac{5}{3}$

or we can rewrite that as 2x+3y-5=0

Hence final answer is 2x+3y-5=0

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What is the rule for finding the vertex of a formula in Standard form? Use that rule to find the vertex of our formula, from above (Once you find the x value, plug it into the equation to find the value of f(x)). What do the x and f(x) values you got represent?