Answer:
y = -0.5x - 3.5
Explanation:
Take two points: (1, -4), (3, -5)
Find slope:
![\sf slope: \dfrac{y_2 - y_1}{x_2- x_1} \ \ where \ (x_1 , \ y_1), ( x_2 , \ y_2) \ are \ points](https://tex.z-dn.net/?f=%5Csf%20slope%3A%20%5Cdfrac%7By_2%20-%20y_1%7D%7Bx_2-%20x_1%7D%20%5C%20%5C%20%20where%20%5C%20%28x_1%20%2C%20%5C%20y_1%29%2C%20%28%20x_2%20%2C%20%5C%20y_2%29%20%5C%20are%20%5C%20points)
![\rightarrow \sf slope \ (m) : \dfrac{-5-(-4)}{3-1} = -\dfrac{1}{2}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20slope%20%5C%20%28m%29%20%3A%20%5Cdfrac%7B-5-%28-4%29%7D%7B3-1%7D%20%20%20%3D%20-%5Cdfrac%7B1%7D%7B2%7D)
Equation:
![\sf y- y_1 = m (x - x_1)](https://tex.z-dn.net/?f=%5Csf%20y-%20y_1%20%3D%20m%20%28x%20-%20x_1%29)
![\rightarrow \sf y- (-4) = -\dfrac{1}{2} (x -1)](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y-%20%28-4%29%20%3D%20-%5Cdfrac%7B1%7D%7B2%7D%20%20%28x%20-1%29)
![\rightarrow \sf y+ 4 = -\dfrac{1}{2} x + \dfrac{1}{2}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%2B%204%20%3D%20-%5Cdfrac%7B1%7D%7B2%7D%20%20x%20%2B%20%5Cdfrac%7B1%7D%7B2%7D)
![\rightarrow \sf y = -\dfrac{1}{2} x + \dfrac{1}{2} - 4](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20%3D%20-%5Cdfrac%7B1%7D%7B2%7D%20%20x%20%2B%20%5Cdfrac%7B1%7D%7B2%7D%20-%204)
![\rightarrow \sf y = -0.5 x -3.5](https://tex.z-dn.net/?f=%5Crightarrow%20%5Csf%20y%20%3D%20-0.5%20%20x%20-3.5)
Answer:
<em> (∞, 3]</em>
Step-by-step explanation:
Given the inequality 4x−1<11
We are to find the solution set;
4x−1<11
Add 1 to both sides
4x−1+1<11+1
4x < 12
Divide both sides by 4
4x/4 = 12/4
x < 3
<em>Hence the solution set of the inequality is (∞, 3]</em>
Answer:
no solutions
Step-by-step explanation:
Given
6 - 3x = 4 - x - 3 - 2x , that is
6 - 3x = 1 - 3x ( subtract 6 from both sides )
- 3x = - 5 - 3x ( add 3x to both sides )
0 = - 5 ← not possible
This indicates the equation has no solution
Answer:
x=2 y=-1
Step-by-step explanation:
2x+x-3=3
3x-3=3
3x=6
x=2
y=2-3
y=-1
Answer:
1/10
Step-by-step explanation:
6/10 is more than 1/10 bc 6 is bigger than 1 :)