gibsonj338

Write the equation for a line that goes through points (-4, -1) and (0, 3).

\(y=mx+b;\)  \(y = y-value;\) \(m = slope;\) \(x=x-value;\) \(b = y-intersept\)

First, find the slope.  To find the slope use the equation m = ∆y/∆x (m=(y₂-y₁)(/x₂-x₁)).  You can let the first point the starting point and the second point the ending point or let the second point be the starting point and the second point be the ending point. I will let the first point be the starting point and let the second point be the ending point.

\(m=\frac{-1-3}{-4-0}\)

\(m=\frac{-4}{-4-0}\)

\(m=\frac{-4}{-4}\)

\(m=1\)

\(y=1x+b\)

\(y=x+b\)

To find the value for b, take one of the points and subsitiute for y and x.  I will use the first point.

\(-1=-4+b\)

\(3=b\)

\(b=3\)

The equation

\(y=x+3\)

\(-8\times(8-x)=\frac{4}{5}\times(x+10)\)

\(-64+8x=\frac{4}{5}\times(x+10)\)

\(-64+8x=\frac{4}{5}x+\frac{40}{5}\)

\(-64+8x=\frac{4}{5}x+8\)

\(8x=\frac{4}{5}x+72\)

\(\frac{36}{5}x=72\)

\(x=\frac{360}{36}\)

\(x=10\)

Two things you can do:

One. You can distribute the fraction just like it is a whole number

Two. You can multiply the numerator to both sides to turn the fraction into a whole number then distribute the whole number.

Example One:

\(\frac{1}{2}\times(2x+3)=10\)

\(1x+1.5=10\)

\(x+1.5=10\)

\(x=8.5\)

Example Two:

\(\frac{1}{2}\times(2x+3)=10\)

\(1\times(2x+3)=20\)

\(2x+3=20\)

\(2x=17\)

\(x=8.5\)

\([(660\times5625)\times2]+[(1185\times5625)\times3]+[(1450\times5625)\times2]+[(875\times5625)\times2]\)

\(660\times5625\times2+1185\times5625\times3+1450\times5625\times2+875\times5625\times2\)

\(3172500\times2+1185\times5625\times3+1450\times5625\times2+875\times5625\times2\)

\(7425000+1185\times5625\times3+1450\times5625\times2+875\times5625\times2\)

\(7425000+6665625\times3+1450\times5625\times2+875\times5625\times2\)

\(7425000+19996875+1450\times5625\times2+875\times5625\times2\)

\(7425000+19996875+8156250\times2+875\times5625\times2\)

\(7425000+19996875+16312500+875\times5625\times2\)

\(7425000+19996875+16312500+4921875\times2\)

\(7425000+19996875+16312500+9843750\)

\(27421875+16312500+9843750\)

\(43734375+9843750\)

\(53578125\)

What about the number \(0?\)

\(\frac{8}{\frac{1}{4}}\)

\(8\times\frac{4}{1}\)

\(\frac{8}{1}\times\frac{4}{1}\)

\(\frac{32}{1}\)

\(32\)

\(\frac{dy}{dx};\)  \(x=t+1;\)  \(y=3t+2\)

\(\frac{d\times(3t+2)}{d\times(t+1)}\)

\(\frac{1\times(3t+2)}{1\times(t+1)}\)

\(\frac{3t+2}{t+1}\)

\(-\frac{5}{9}\) is not a irrational number.

\(\frac{10}{12}\)into a percent

\(\frac{10}{12}\times100\)

\(0.833333333333333...\times100\)

\(83.33333333333333...\)%

\(50mph\)

\(50\times1,609.344\)

\(80467.2m/h\)

\(\frac{80467.2}{3600}\)

\(22.352m/s\)