Answer:

Step-by-step explanation:
Mark any two point on the line
(-1 , 0) & (-3 , -1)
Slope = 
![= \frac{-1-0}{-3-[-1]}\\\\= \frac{-1}{-3+1}\\\\= \frac{-1}{-2}\\\\= \frac{1}{2}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B-1-0%7D%7B-3-%5B-1%5D%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-3%2B1%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B-1%7D%7B-2%7D%5C%5C%5C%5C%3D%20%5Cfrac%7B1%7D%7B2%7D)
m = 1/2 ; (-1 , 0)
Equation: 
![y - 0 = \frac{1}{2}(x - [-1])\\\\y = \frac{1}{2}(x + 1)\\\\y = \frac{1}{2}x + \frac{1}{2}](https://tex.z-dn.net/?f=y%20-%200%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20-%20%5B-1%5D%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7D%28x%20%2B%201%29%5C%5C%5C%5Cy%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%20%2B%20%5Cfrac%7B1%7D%7B2%7D)
Answer:
(21,5)
Step-by-step explanation:
To find the slope that passes through the points (7,5) and (21,15) , we use the formula
m = (y2-y1)/ (x2-x1)
= (15-5)/(21-7)
= 10/14
=5/7
We want a slope that is 1/3 this slope so we will multiply by 1/3
5/7 * 1/3= 5/21
We know the slope and one point (0,0) we can use the same formula to figure out x and y
m = (y2-y1)/ (x2-x1)
5/21 = (y2-0)/ (x2-0)
Let the tops be equal and the bottoms be equal
5 = y2-0
5 =y2
and the bottoms
21 = x2-0
21= x2
We have the point
(21,5)
66,681 rounded to the nearest ten-thousand would be equal to 70,000.
Answer:
m = 57/14 =
Step-by-step explanation:
The polynomial can be expressed as follows;
P(x) = 2·x³ - m·x² + x - 5·m
(2·x³ - m·x² + x - 5·m) ÷ (x - 2)
2·x²
(-m - 2)·x² + x
(-m - 2)·x
(m + 3)·x - 5·m
(m + 3)·x
-5·m
The remainder = -5·m/(x -2)
Similarly, dividing by (x + 1) will give a remainder of -5·m/(x + 1)
But -5·m/(x -2) = 4×-5·m/(x + 1)
5/(x -2) = 20/(x + 1)
5(x + 1) = 20(x -2)
20x - 5x= 40 + 5
x = 45/15 = 3
2·3³ - m·3² + 3 - 5·m = 54 - 9m + 3 - 5m = 57 - 14m
(57 - 14m)/1 = (57 - 14m)/4
228 - 56m =57 - 14m
171 = 56m-14m = 42m
m = 171/42 = 57/14.