Answer:
Step-by-step explanation:
1.x +y = 1 Yes
2. Power of variable e is 3. So, it is not a linear equation
No.
3) Great than symbol is there. No, it is not a linear equation.
4. 2x -y = 2x + 5
2x - y - 2x = 5
-y = 5 is not a linear equation with two variable.
No.
5. No.
1) (5,14) ; (19,7)
![Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{7-14}{19-5}\\\\=\dfrac{-7}{14}\\\\=\dfrac{-1}{2}](https://tex.z-dn.net/?f=Slope%20%3D%20%5Cdfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B7-14%7D%7B19-5%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-7%7D%7B14%7D%5C%5C%5C%5C%3D%5Cdfrac%7B-1%7D%7B2%7D)
2) (-10 , 1) ; (-10 ,4)
x- coordinate is same for both the points. So, the line is parallel to y-axis
Slope = undefined
![3) (-3,-3) ; (15,13)\\\\slope=\dfrac{13-[-3]}{15-[-3]}\\\\=\dfrac{13+3}{15+3}\\\\=\dfrac{16}{18}\\\\=\dfrac{8}{9}](https://tex.z-dn.net/?f=3%29%20%28-3%2C-3%29%20%3B%20%2815%2C13%29%5C%5C%5C%5Cslope%3D%5Cdfrac%7B13-%5B-3%5D%7D%7B15-%5B-3%5D%7D%5C%5C%5C%5C%3D%5Cdfrac%7B13%2B3%7D%7B15%2B3%7D%5C%5C%5C%5C%3D%5Cdfrac%7B16%7D%7B18%7D%5C%5C%5C%5C%3D%5Cdfrac%7B8%7D%7B9%7D)
![4)(\dfrac{-1}{2},\dfrac{1}{7}) ; (\dfrac{-3}{2},\dfrac{2}{7})\\\\Slope=\dfrac{\dfrac{2}{7}-\dfrac{1}{7}}{\dfrac{-3}{2}+\dfrac{1}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{\dfrac{-2}{2}}\\\\\\=\dfrac{\dfrac{1}{7}}{-1}\\\\\\=\dfrac{-1}{7}](https://tex.z-dn.net/?f=4%29%28%5Cdfrac%7B-1%7D%7B2%7D%2C%5Cdfrac%7B1%7D%7B7%7D%29%20%3B%20%28%5Cdfrac%7B-3%7D%7B2%7D%2C%5Cdfrac%7B2%7D%7B7%7D%29%5C%5C%5C%5CSlope%3D%5Cdfrac%7B%5Cdfrac%7B2%7D%7B7%7D-%5Cdfrac%7B1%7D%7B7%7D%7D%7B%5Cdfrac%7B-3%7D%7B2%7D%2B%5Cdfrac%7B1%7D%7B2%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B7%7D%7D%7B%5Cdfrac%7B-2%7D%7B2%7D%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B%5Cdfrac%7B1%7D%7B7%7D%7D%7B-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B-1%7D%7B7%7D)
Compare with y = mx + b ; here m is slope
1. y = -2x - 8
slope = -2
2. x = 3
Line is parallel to y-axis.
So, slope = undefined
3.2x - y = 4
2x - 4 = y
y = 2x - 4
Slope = 2
4.) 2x + y - 5 = 0
y = -2x + 5
Slope = -2