Question

Sketch a line passing through the point and having slope m. (0,6), m=-3

Answer 1

$\bf slope = {{ m}}= \cfrac{rise}{run}\implies -3\implies \cfrac{-3}{1} \qquad \qquad \qquad \left( \stackrel{run}{0}~,~\stackrel{rise}{6} \right)$

now, to graph a LINE, all you need is two points, so, you already have one, 0,6.

to get a second point, simply apply the rise and run values, so 0+1 = 1 and 6 -3 = 3, thus there's your second point, (1, 3), graph it away.

Answer 2

Y= -3x+b
6=b

The answer is y=-3x+6