Find the distance 2/3rd from 8 to -4.

Mathematics

1 answer:

Licemer1 [7]4 years ago

4 0

So in total 8+4 would be 12 spaces. Rmr when you calculate distance you can’t subtract a negative. A negative really means backwards not destroyed in terms of distance. So total is 12 spaces.

2/3 of 12 is 8. Think of it like this
2/3=x/12
You could do butterfly or you could realize 3x4=12
So 2x4=8 would be proportional to the ratio we are looking for.

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Write the equation of the line that goes through each set of points (-1,6),(3-2)

Mariana [72]

The point-slope form:

$y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the points (-1, 6) and (3, -2). Substitute:

$m=\dfrac{-2-6}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-6=-2(x-(-1))\\\\y-6=-2(x+1)\qquad\text{use distributive property}\\\\y-6=-2x-2\qquad\text{add 6 to both sides}\\\\y=-2x+4\qquad\text{add 2x to both sides}\\\\2x+y=4$

<h3>Answer:</h3><h3>y - 6 = -2(x + 1) <em>point-slope form</em></h3><h3>y = -2x + 4 <em>slope-intercept form</em></h3><h3>2x + y = 4 <em>standard form</em></h3>