We are given that
points through which parabola is passing
(-1,1) and (1,-3)
so, we have
x1=-1 ,y1=1
x2=1 , y2=-3
we can find average rate of change by using formula
now, we can plug values
So, the average rate of change from -1 to 1 is -2...........Answer
-5/4 ÷ 2 3/5
Let's turn 2 3/5 into a complete fraction so multiply bottom by two and add it to the top. Take the answer and put it over the original bottom. SO: 13/5
Now KEEP CHANGE FLIP
keep -5/4
change sign to ×
flip 13/5 to 5/13
Thus: -5/4 × 5/13
Simply, multiply
-25/52
Done, hope that helps :)
Ummm yeah idk too some one helpppp
A. 7+5 12
------- = --- = -3
-3-1 -4
Slope=-3
y-y^1=m(x-x^1)
y-7=-3(x+3) Point slope form
y-7=-3x-9
+7 +7
-----------------
y=-3x-2 Slope y-intercept form
+3x +3x
-------------
3x+y=-2 Standard form
The explanation for this is one of my favorite pieces of mathematical reasoning. First, let's thing about distance; what's the shortest distance between two points? <em>A straight line</em>. If we just drew a straight line between A and B, though, we'd be missing a crucial element of the original problem: we also need to pass through a point on the line (the "river"). Here's where the mathemagic comes in.
If we take the point B and <em>reflect it over the line</em>, creating the point B' (see picture 1), we can draw a line straight from A to B' that passes through a point on the line. Notice the symmetry here; the distance from the intersection point to B' is<em> the same as its distance to B</em>. So, if we reflect that segment back up, we'll have a path to B, and because it came from of the line segment AB', we know that it's <em>the shortest possible distance that includes a point on the line</em>.
If we apply this same process to our picture, we see that the line segment AB' crosses the line at the point (1, 1)