283.4 thats what my quiz said
Hey there! I'm happy to help!
The median is the line cutting the triangle in this graph. In general, a median connects any of the triangle points to halfway across the side opposite to that point. This median connects R to halfway across the side across from R.
We want to find the equation of this median. We see that T is at (-2,3) and R is (3,-3). The first thing to do when looking for the equation of the line is to find the slope, or incline. Since we have two points, we can do this very easily. You simply divide the difference in the y-values by the difference in the x-values.
DIFFERENCE IN Y-VALUES
3-(-3)
3+3
6
DIFFERENCE IN X-VALUES
-2-3
-5
Now, we divide the two answers, giving us -6/5.
So, we have our slope, which gives us the equation so far y=-6/5x+b. We just need to find the b, which is our y-intercept. Well, to do this, we plug in one of our points and we can solve for b. We will use (3,-3)!
-3=-6/5(3)+b
-3=-3 3/5+b
We add 3 3/5 to both sides to isolate the b.
b=3/5
This means that this median should hit the y-axis at (0,3/5), and it looks like it does. Therefore, the equation of this median is y=-6/5x+3/5.
Now you can find the slope of a median! Have a wonderful day! :D
Answer:
Step-by-step explanation:
red and green
you know this because the red line has an X intercept at 1.5,0 which can be seen on the graph, as well as a Y intercept of 0,-3 which means that 2x-3 is represented by the red line
the green line passes through 0.8, 0 for its x intercept and 4,0 for its y intercept which is also seen on the graph by the green line.
to prove this, set each equation equal to zero and solve-
so 2x-3=0
2x=3
x=1.5
4-5x=0
-5x=-4
x=0.8
also the whole number in each equation (-3 and the 4) are y intercepts since when x is zero they are themselves
Title:
<h2>The standard parametric equation for the line is
.</h2>
Step-by-step explanation:
The standard parametric equation for a line generally represented as 
; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.
It is given that the line passes through the point (2, -2, 10).
Hence, here (a, b, c) ≡ (2, -2, 10).
Similarly, the direction vector of the line is given by (l, m, n) ≡ (9, 7, 10).
Putting all the values in the equation of the line, the equation becomes
.
