PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
Yes they are the same because when the negative is distributed into (an+c), the plus sign becomes a negative.
We have a line passing through 3 points. We can use the first
two points to find the equation of the line.
(6,3), (8,4)
slope m = (4-3)/(8-6) = 1/2
We can use the point slope form y-y1 = m(x-x1) or
the slope intercept form y = mx + b
to find the equation of the line.
Let's take the point (6,3) and use y = mx + b to find b
y = 3, x = 6, m = 1/2
3 = (1/2)(6) + b
3 = 3 + b
0 = b
The equation of our line is y = (1/2)x
We have a line of equation y = (1/2)x going through point (n,-2)
Plugging in we have: -2 = (1/2)n
2(-2) = n
-4 = n
Your answer is n = -4
NOTE: looking at the 3 points as given initially: (6,3), (8,4), (n,-2)
We can see that 3 = (1/2)6 and 4 = (1/2)8 so -2 = (1/2)n makes sense
Hope this helps you :)
Answer:
For better understanding of the answer see the attached figure :
length of grid square on each axis on coordinate plane is 1 units
But here it is given to be 0.1 units.
So, in order to find the ordered pair (1.8 , -1.2) we need to first locate 1.8 on x-axis and -1.2 on y-axis
Now, as each axis one grid square equals 0.1 . So,we go 18 units on positive x -axis and mark point (1.8,0) and 12 units on negative y-axis and mark point (0,-1.2) and draw vertical and horizontal lines passing through these points respectively. And the point of intersection of these lines is our required point (1.8,-1.2)
Answer:
x = -7/5
<em>or x = -1.4</em>
Step-by-step explanation:
2/10 - 4/5 = -3/5
-3/5 * 7 = -21/5
-21/5 ÷ 3 = -7/5
