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-BARSIC- [3]
3 years ago
9

5C%3B%5C%3B%280%2C%20-2%29%20%26%20%283%2C0%29%5C%5C2...%5C%3B%5C%3B%280%2C%20-3%29%20%26%20%28-4%2C%20-5%29%5C%5C3...%5C%3B%5C%3B%28-3%2C-4%29%20%26%20%284%2C3%29%5C%5C%5C%5C%5C%5C%5Cboxed%7BPlease%5C%3Bshow%5C%3Bwork%21%7D" id="TexFormula1" title="\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}" alt="\huge\boxed{Write\;equations\;for\;the\;following...}\\\\1...\;\;(0, -2) & (3,0)\\2...\;\;(0, -3) & (-4, -5)\\3...\;\;(-3,-4) & (4,3)\\\\\\\boxed{Please\;show\;work!}" align="absmiddle" class="latex-formula">

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
6 0

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

const2013 [10]3 years ago
3 0

Answer:  see below

<u>Step-by-step explanation:</u>

Step 1: Find the slope (m) using the formula:    m=\dfrac{y_2-y_1}{x_2-x_1}

Step 2: Plug in the slope (m) and one of the points (x₁, y₁) into the Point-Slope formula.      y - y₁ = m(x - x₁)

1.    (0, -2) and (3, 0)

Step 1:    m=\dfrac{-2-0}{0-3}\quad =\dfrac{-2}{-3}\quad =\dfrac{2}{3}

Step 2:   y-0=\dfrac{2}{3}(x-3)

                     y=\dfrac{2}{3}(x-3)

                    \large\boxed{y=\dfrac{2}{3}x-2}

2.    (0, -3) and (-4, -5)

Step 1:    m=\dfrac{-3-(-5)}{0-(-4)}\quad =\dfrac{-3+5}{0+4}\quad =\dfrac{2}{4}\quad =\dfrac{1}{2}

Step 2:   y-(-3)=\dfrac{1}{2}(x-0)

                     y+3=\dfrac{1}{2}x

                            \large\boxed{y=\dfrac{1}{2}x-3}

3.    (0, -3) and (-4, -5)

Step 1:    m=\dfrac{-4-3}{-3-4}\quad =\dfrac{-7}{-7}\quad =1

Step 2:   y-3=1}(x-4)

              y-3=x-4

                   \large\boxed{y=x-1}      

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