Question

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Answer 1

Answer:

         x + 2y = - 6

Step-by-step explanation:

X-intercept:  (-6, 0)

Y-intercept:  (0, -3)    ⇒   b = -3

Slope:   $m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{0+3}{-6+0}=-\dfrac12$

Slope-intercept form  y = mx + b

$y=-\frac12x-3$        {multiply both sides by 2}

2y = - x - 6          {add x to both sides}

x + 2y = - 6

Answer 2

Answer:

We'll need 2 points so we'll choose (-6, 0) and (0, -3).  

Let's calculate the slope (or 'm') using

Slope or m = (Y2 -Y1) ÷ (X2 -X1)

Slope ('m') = (-3 -0) / (0, - -6) = -3 / 6 = -1/2

Then we calculate the equation using:

(y - y1) = m • (x -x1)

(y - 0) = -1/2 * (x - -6)

y = -1/2 x -3

Source: http://www.1728.org/distance.htm

Step-by-step explanation: