Question

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">

Answer 1

Answer:

1. y = -2/3x + 2

2. y = 2/4x + -3

3. y = 1x -1

Answer 2

Answer:  see below

Step-by-step explanation:

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:   $y-3=1}(x-4)$

              $y-3=x-4$

                   $\large\boxed{y=x-1}$