Answer:
(0,1)
Step-by-step explanation:
The equation for slope is y=mx+b.
The b value stands as the y - intercept.
The answer is A, the equation shows a proportional relationship because the graph shows a straight line. However, it is not DIRECTLY proportional as it does not pass through the origin.
Factor the following:
15 x y - 45 x - 6 y + 18
Factor 3 out of 15 x y - 45 x - 6 y + 18:
3 (5 x y - 15 x - 2 y + 6)
Factor terms by grouping. 5 x y - 15 x - 2 y + 6 = (5 x y - 2 y) + (6 - 15 x) = y (5 x - 2) - 3 (5 x - 2):
3 y (5 x - 2) - 3 (5 x - 2)
Factor 5 x - 2 from y (5 x - 2) - 3 (5 x - 2):
Answer: 3 (5 x - 2) (y - 3)
I will give in y=mx+b and ax+by=c form
using point slope form
y-y1=m(x-x1)
where the slope is m and a point on that line is (x1,y1)
slope between 2 points (x1,y1) and (x2,y2) is (y2-y1)/(x1-x1)
given
(6,-3) and (-4,-9)
slope=(-9-(-3))/(-4-6)=(-9+3)/(-10)=-6/-10=3/5
a point is (6,-3)
y-(-3)=3/5(x-6)
y+3=3/5(x-6)
y+3=3/5x-18/5
y=3/5x-33/5
-3/5x+y=-33/5
3x-5y=33
equation is
y=3/5x-33 or
3x-5y=33 or
y+3=3/5(x-6) or
y+9=3/5(x+4)
