3a. The slope is 4/5
Since the equation is in the form y-y1 = m(x-x1)
m =
slope = 4/5----------------------------------
3b.
The point used is (-3,-6)The equation y+6 = (4/5)(x+3) is the same as y-(-6) = (4/5)(x-(-3))
matching that up to y-y1 = m(x-x1) and we see (x1,y1) =
(-3,-6)
----------------------------------
3c.
The graph is shown in the attached imagesWe already have one point (-3,-6). To get another point, we use the slope.
Slope = rise/run = 4/5
rise = 4
run = 5
Start at (-3,-6). Move up 4 units and then to the right 5 units to get to the next point (2, -2).
Plot the two points (-3,-6) and (2,-2). Then draw a straight line through them.