To graph the equation y-(-5) = (3/-2)(x-0), we first simplify it:
y+5 = (-3/2)x
Next, we can rearrange the equation to its slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept:
y = (-3/2)x - 5.
Now, we can plot the graph.
Start by marking the y-intercept (0,-5).
The slope, -3/2, tells us that for every 2 units we move to the right, we move down 3 units. Alternatively, for every 2 units left, we move up 3 units. You can find another point using this information and then draw a straight line passing through both points.
To summarize, the graph of the equation y-(-5) = (3/-2)(x-0) is a straight line with a slope of -3/2 and a y-intercept of -5.